MEDIUM
9th Foundation
IMPORTANT
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The height of a cone is equal to its base diameter. Then slant height of the cone is

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Important Questions on Surface Areas and Volumes

MEDIUM
9th Foundation
IMPORTANT
The length of the longest rod that can be kept in a cuboidal room of dimensions 10 m×10 m×5 m is __________.
HARD
9th Foundation
IMPORTANT
A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is same for both the bowl and the cylinder, then the amount of the beverage that can be poured from the bowl into the cylindrical vessel is
MEDIUM
9th Foundation
IMPORTANT

The volume of a cylinder of radius r is 14 of the volume of rectangular box with a square base of side length x. If the cylinder and the box have equal heights, what is the value of r in terms of x?

 

MEDIUM
9th Foundation
IMPORTANT
The edge of a cube is 20cm. How many small cubes of edge 5cm can be formed from this cube?
HARD
9th Foundation
IMPORTANT
The volume of two spheres are in the ratio 64:27. the difference of their surface areas, if the sum of their radii is 7 units, is ______
MEDIUM
9th Foundation
IMPORTANT
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio of 5:3 The ratio of their volumes is ___________
MEDIUM
9th Foundation
IMPORTANT
A covered wooden box has the inner measures as 115 cm, 75 cm,35 cm,and the thickness of wood is 2.5 cm Then the volume of the wood is
HARD
9th Foundation
IMPORTANT
A spherical ball of lead, 3 cm in radius is melted and recast into three spherical balls. The radius of two of these are 1.5 cm and 2 cm respectively. The radius of the third ball is