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Surface Areas and Volumes

Short Answer Type

331. A conical tent is to accommodate 11 persons. Each person must have 4 m² of the space on the ground and 20 m³ of air to breadth. Find the height and radius of the conical tent.

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332. A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m, find its volume.

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333. Find the volume of a right circular cone whose slant height is 13 cm and the diameter of the base is 10 cm. (Take

straight pi

= 3.14)

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334. Find the volume of a sphere whose radius is

7 cm

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335. Find the volume of a sphere whose radius is

0.63 m

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336. Find the amount of water displaced by a solid spherical ball of diameter
28 cm

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337. Find the amount of water displaced by a solid spherical ball of diameter
0.21 m.

Diameter = 0.21 m.

therefore

Radius (r) =

fraction numerator 0.21 over denominator 2 end fraction space straight m equals 0.105 space straight m

therefore

Amount of water displaced =

4 over 3 πr cubed

equals 4 over 3 cross times 22 over 7 cross times left parenthesis 0.105 right parenthesis cubed equals 0.004851 space straight m cubed.

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338. The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm³?

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339. The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

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