Important Questions of Surface Areas and Volumes Mathematics | Zigya

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361. Marbles of diameter 1.4 cm are dropped into a beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it, if water rises by 56 cm.
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362. The volumes of two spheres are in the ratio of 64 : 27. Find their radii if the sum of their radii is 21 cm. 
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363. A hemispherical shaped container has curved surface area of 2772 cm2. Find the capacity of container. 
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364.  Find the volume of a sphere whose surface area is 154 cm2. Also, find the cost of polishing its surface @ र 5 per cm2
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365. The largest sphere is carved out of a cube of side 7 cm. Find the volume of the sphere.
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366. Find the volume of metal used to construct a hollow sphere of internal and external diameters as 10 cm and 13 cm respectively.
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367. A hemispherical bowl of internal and external diameter 6 cm and 10 cm is melted and formed into a cylinder of diameter 14 cm. Find the height of the cylinder. 
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368. A boy has a spherical sweet of radius 4 cm. A girl has 8 spherical sweets each of radius 2 cm. Find the ratio of the volume of the sweets the boy has to the sweets the girl has.
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369.

A cylindrical container of base radius 6 cm, has water upto a height of 5 cm. Find:

(a)    Volume of water
(b)    A metal sphere of radius 2 cm is totally submerged in the water. Find rise in the water level.

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370.

A right circular cylinder just encloses a sphere of radius 14 cm. Find

(i)     Volume of the sphere
(ii)    Volume of the cylinder
(iii)    Ratio of the volumes of sphere and cylinder.

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