Important Questions of Surface Areas and Volumes Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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371.

A solid sphere of radius 3 cm is melted and then cast into small spherical balls each of diameter 0.6 cm. Find the number of balls thus obtained.

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372. The circumference of the cross-section of a hemispherical bowl is 132 cm. Find the capacity of the bowl.
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373. The radius and height of a right circular cylinder are in the ratio of 2 : 3. If the volume of the cylinder is 1617 cm3, then find the radius and height of the cylinder. 
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374. The height of a right circular area is 16 cm and its base radius is 12 cm. Find the total surface area and volume of the cone in terms of straight pi.
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375. The curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find the (i) radius of base of the cone (ii) total surface area of the cone.
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376. The total surface area of a cube is 726 cm2. Find its volume. 
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377. Lead spheres of diameter 6 cm each are dropped into a cylindrical beaker containing some water and are fully submerged. If the diameter of the beaker is 18 cm and water level rises by 40 cm, find the number of lead spheres dropped in the water. 
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378.
The areas of three adjacent faces of a cuboid are 15 sq cm, 20 sq cm and 12 sq cm. Find the volume of the cuboid.
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379. How many square meters of canvas is required for making a conical tent where height is 3.5 m and the radius of the base is 12 m?

open parentheses Use space straight pi equals 22 over 7 close parentheses
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380.  A military tent is in the form of a right circular cone of vertical height 9 m, the diameter of the base being 10.5 m. If 18 soldiers can sleep in it, find the average cubic meters of air space available to each soldier.
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