MEDIUM
10th Tamil Nadu Board
IMPORTANT
Earn 100

A toy is in the shape of a cylinder surmounted by a hemisphere. The height of the toy is 25 cm. Find the total surface area of the toy if its common diameter is 12 cm.

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Important Questions on Mensuration

MEDIUM
10th Tamil Nadu Board
IMPORTANT

A jewel box is in the shape of a cuboid of dimensions 30 cm×15 cm×10 cm surmounted by a half part of a cylinder as shown in the figure. Find the volume and T.S.A. of the box.

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MEDIUM
10th Tamil Nadu Board
IMPORTANT
Arul has to make arrangements for the accommodation of 150 persons for his family function. For this purpose, he plans to build a tent which is in the shape of cylinder surmounted by a cone. Each person occupies 4 sq.m of the space on ground and 40 cu . meter of air to breathe. What should be the height of the conical part of the tent if the height of cylindrical part is 8 m ?
MEDIUM
10th Tamil Nadu Board
IMPORTANT
A funnel consists of a frustum of a cone attached to a cylindrical portion 12 cm long attached at the bottom. If the total height be 20 cm, diameter of the cylindrical portion be12 cm and the diameter of the top of the funnel be 24 cm. Find the outer surface area of the funnel.
MEDIUM
10th Tamil Nadu Board
IMPORTANT
A hemispherical section is cut out from one face of a cubical block such that the diameter l of the hemisphere is equal to side length of the cube. Determine the surface area of the remaining solid.
MEDIUM
10th Tamil Nadu Board
IMPORTANT
A metallic sphere of radius 16 cm is melted and recast into small spheres each of radius 2 cm. How many small spheres can be obtained?
MEDIUM
10th Tamil Nadu Board
IMPORTANT

A cone of height 24 cm is made up of modeling clay. A child reshapes it in the form of a cylinder of same radius as cone. Find the height of the cylinder.

MEDIUM
10th Tamil Nadu Board
IMPORTANT
A right circular cylindrical container of base radius 6 cm and height 15 cm is full of ice cream. The ice cream is to be filled in cones of height 9 cm and base radius 3 cm, having a hemispherical cap. Find the number of cones needed to empty the container.