HARD
10th ICSE
IMPORTANT
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A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?

Important Questions on Mensuration

HARD
10th ICSE
IMPORTANT
A cone of maximum volume is carved out of a block of wood of size 20 cm×10 cm×10 cm. Find the volume of the remaining wood.
HARD
10th ICSE
IMPORTANT

A hemispherical and conical hole are scooped out of a solid wooden cylinder. Find the volume of the remaining solid where measurements are as follows:

The height of the cylinder is 7 cm, radius of each hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm. Give your answer correct to the nearest whole number. Take π=227.

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HARD
10th ICSE
IMPORTANT
A circus tent is in the shape of a cylinder surmounted by a cone. The diameter of the cylindrical portion is 24 m and its height is 11 m. If the vertex of the cone is 16 m abcve the ground, find the area of the canvas used to make the tent.
HARD
10th ICSE
IMPORTANT
Total volume of three identical cones is the same as that of a bigger cone whose height is 9cm and diameter 40cm. Find the radius of the base of each smaller cone, if height of each is 108cm.
HARD
10th ICSE
IMPORTANT
Eight metallic spheres; each of radius 2mm, are melted and cast into a single sphere. Calculate the radius of the new sphere.π=227.
HARD
10th ICSE
IMPORTANT
A hemispherical bowl of diameter 7.2cm is filled completely with chocolate sauce. This sauce is poured into an inverted cone of radius 4.8cm. Find the height of the cone if it is completely filled.
HARD
10th ICSE
IMPORTANT
A hollow sphere of internal and external diameter 4cm and 8cm respectively is melted into a cone of base diameter 8cm. Find the height of the cone.
MEDIUM
10th ICSE
IMPORTANT
There is a water to the height of 14 cm in a cylindrical glass jar of radius 8 cm. Inside the water there is a sphere of diameter 12 cm completely immersed. By what height will the water go down when the sphere is removed ?