MEDIUM
10th Andhra Pradesh Board
IMPORTANT
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A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube. Determine the surface area of the remaining solid. 

Important Questions on Mensuration

MEDIUM
10th Andhra Pradesh Board
IMPORTANT

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is 10 cm, and its base radius is of 3.5 cm, find the total surface area of the article. Use: π=227

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HARD
10th Andhra Pradesh Board
IMPORTANT
Surface area of a sphere and cube are equal. Then find the ratio of their volumes.
HARD
10th Andhra Pradesh Board
IMPORTANT
An iron pillar consists of a cylindrical portion of 2.8 m height and 20 cm in diameter and a cone of 42 cm height surmounting it. Find the weight of the pillar if 1 cm3 of iron weighs 7.5 g.[Take π=227]
HARD
10th Andhra Pradesh Board
IMPORTANT
A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm, and its volume is32 of the hemisphere. Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal Take π=317
MEDIUM
10th Andhra Pradesh Board
IMPORTANT
Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm.[ Take π=227]
MEDIUM
10th Andhra Pradesh Board
IMPORTANT
A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of right circular cone mounted on a hemisphere is immersed into the tub. The radius of the hemisphere is 3.5 cm and height of cone outside the hemisphere is 5 cm. Find the volume of water left in the tub. Take π=227.
MEDIUM
10th Andhra Pradesh Board
IMPORTANT

In the adjacent figure, the height of a solid cylinder is 10 cm and diameter is 7 cm. Two equal conical holes of radius 3 cm and height 4 cm are cut off as shown the figure. Find the volume of the remaining solid.[Take π=227]

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MEDIUM
10th Andhra Pradesh Board
IMPORTANT
Spherical Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm, which contains some water. Find the number of marbles that should be dropped in to the beaker, so that water level rises by 5.6 cm