Cluster · 3D Mensuration - Volume and Surface Area

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Clusters / #1137
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Mensuration of 3D Solids Volume Surface Area
Questions
778
Questions in this cluster
775 total
Question Category Subtype Difficulty

The radius of the base and height of a cone are 5 cm and 6 cm, respectively, whereas the radius of the base and height of a cylinder are 2.5 cm and 3 cm, respectively. The ratio of the volume of the cone to that of the cylinder is: (Where π = 22/7)

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If the curved surface area of a cylinder is 126π cm2 and its height is 14 cm, what is the volume of the cylinder? (in cm3)

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A hollow sphere of external and internal diameters of 10 cm and 6 cm respectively, is melted and made into another solid in the shape of a right circular cone of base diameter 10 cm. Find the height of the cone.

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A copper sphere of diameter 12 cm is drawn into a wire of diameter 4 mm. What is the length (in cm) of the wire? 

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If the surface areas of two spheres are in the ratio of 9 : 49, then the ratio of their volumes is: ( Where π=\( {{22} \over 7}\))

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Find the total surface area of a hemisphere with a radius of 11 cm?

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A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid.
 

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What is the volume of a cylinder if the radius of the cylinder is 10 cm and the height is 20 cm? (Take π = 3.14)

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If the diameter of the base and the height of a cylinder are 16cm and 20 cm, respectively, then what is the total surface area of the cylinder? (Use π = 22/7)

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A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?

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What is the volume of the largest sphere that can be carved out of a wooden cube of sides 21 cm? (π = \(\frac{22}{7}\))

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A cylinder has a radius of 7 cm and the area of its curved surface is 396 cm2 . The volume of the cylinder is:

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A spherical box has a surface area of 528 cm2. Find the radius of the spherical box.

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The volumes of two spheres are in the ratio of 512 : 3375. The ratio of their surface areas is:

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The curved surface area of a right circular cylinder is 90.2 m2, and its radius is 70 cm, find its height ( in m ).  (π\(\frac{22}{7}\))

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The radius and height of a cylinder are in the ratio 6 : 7 and its volume is 792 cm3 . Calculate its curved surface area in cm2 .

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Find the surface area of the sphere whose radius is 112 cm and π = \(\frac{22}{7}\)(cm2).

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The curved surface area of a cone is 2200 cm² and its radius is 28 cm, what is the slant height (in cm) of the cone?

 \(\big(Use\pi=\frac{22}{7}\big)\)

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Find the diameter of a spherical ball whose volume is 38.808 cm3\(( \pi = \frac{22}{7})\)

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Find the total surface area of the hemisphere (in sq cm) whose radius is 57cm and π = 3.14.

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How many litres of water can be stored in a tank of 1m in length, 1/2 m in breadth, and 1/2 m tall?

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What is the height of a cylinder whose radius of the base is 12 cm and volume is 19008 cm3? [Use π = 22/7 ]

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Find the Total surface area of the hemisphere (in cm2) whose radius is 26cm and π = 3.14.

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Find the surface area of the sphere (in cm2) whose radius is 140 cm and π = 22/7

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Find the total surface area of the hemisphere whose radius is 27cm and π = 3.14(In cm2).

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The surface areas of the two spheres are in the ratio 25 : 36. What is the ratio of their volumes?

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Find the Total surface area of the hemisphere (in cm2) whose radius is 45cm and π = 3.14.

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Find the curved surface area of a cone whose radius is 13 cm and slant height is 21 cm. (use π = 22/7)

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Find the curved surface area of the hemisphere whose radius is 30 cm and π = 3.14 (In cm2).

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Find the surface area of the sphere whose radius is 22cm and π = 3.14 (In cm2)

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The surface area of a sphere is 2464 cm². Find its volume

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Find the surface area of the sphere (in cm2) whose radius is 133 cm and π = 22/7.

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A largest possible sphere is carved from a cube of side 14 cm. What is its volume in cm³?

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The respective ratio between numerical values of the curved surface area and the volume of a right circular cylinder is 2 : 3. If the respective ratio between the radius and the height of the cylinder is 3 : 7, what is the total surface area of the cylinder?

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Find the total surface area of the hemisphere (in cm2 ) whose radius is 42 cm and π = 3.14

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Find the volume of the cylinder whose radius is 42 cm and height is 19 cm. (in cm3 and π = 22/7).

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If the diameter of a hemisphere is 63 cm, then what is the volume of hemisphere?

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The curved surface area of a right circular cone is 44 cm2. If the slant height of the cone is 7 cm, then find the radius of its base. [Use π = 22/7 ].

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Find the Total surface area of the hemisphere whose radius is 28cm and π = 3.14(cm2).

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The ratio of the diameters of two spheres is given as 1 : 4. The larger sphere is melted and 125 identical spheres are made out of the molten material. The smaller sphere is melted and 27 identical spheres are made out of the molten material. If the ratio of the volume of each of the 125 identical spheres to the volume of each of the 27 identical spheres is given as 1 : m, what is the value of m?

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The outer surface of a sphere having a diameter 10 m is painted at the rate of Rs. \(\frac{80}{\pi}\) per m2 . What is the cost of painting?

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Find the total surface area of a sphere whose volume is \(\frac{256}{3}\pi {cm^3}\)

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The curved surface area of a cone whose base radius is 7 cm and slant height is 10 cm is:

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The sum of the radius of the base and the height of a cylinder is 55 cm. If the height of the cylinder mentioned above is 15 cm more than the radius of its base, then what is the curved surface area of this cylinder? [Use \(\pi=\frac{22}{7}\)]

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The volume of a right circular cone having a base diameter of 14 cm is 196π cm3 .Find the perpendicular height of this cone

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The volume of a right circular cone is 1848 cm3. If the area of its base is 154 cm2 , what is the vertical height of the cone?  [Use π = 22/7]

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What will be the difference between the total surface area and the curved surface area of a hemisphere having 4 cm diameter?

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If the volume of a sphere is 38808 cm3, then its surface area is:

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The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:

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If the radius of a hemispherical balloon increases from 4 cm to 7 cm as air is pumped into it, find the ratio of the surface area of the new balloon to its original.

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