MEDIUM
10th CBSE
IMPORTANT
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A solid cylinder of radius r and height h is placed over the cylinder of same height and radius. The total surface area of the shape so formed is 4πrh+4πr2.

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Important Questions on Surface Areas and Volumes

EASY
10th CBSE
IMPORTANT
A solid cone of radius r and height h is placed over a solid cylinder having the same base radius and height as that of a cone. The total surface area of the combined solid is πrr2+h2+3r+2h.
EASY
10th CBSE
IMPORTANT
A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is 43πa3.
HARD
10th CBSE
IMPORTANT
The volume of the frustum of a cone is 13πhr12+r22-r1r2, where h is vertical of frustum and r1,r2 are the radius of ends.
MEDIUM
10th CBSE
IMPORTANT

The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the figure is πr233h-2r.

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HARD
10th CBSE
IMPORTANT

The curved surface area of a cone is πlr1+r2, where l=h2+r1+r22  r1 and r2 are the radius of the two ends of the frustum and h is the vertical height.

EASY
10th CBSE
IMPORTANT
An open metallic bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The surface area of the metallic sheet used is equal to the curved surface area of the frustum of a cone + area of the circular base + curved surface area of the cylinder.
EASY
10th CBSE
IMPORTANT

Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed.

EASY
10th CBSE
IMPORTANT

How many shots having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm×11 cm×12 cm?