HARD
10th CBSE
IMPORTANT
Earn 100

A cylindrical container of radius and height is filled with ice cream. The whole ice cream has to be distributed to children in equal cones with hemispherical tops. If the height of the conical portion is times the radius of its base, find the radius of the ice-cream cone in .

50% studentsanswered this correctly

Important Questions on Volume and Surface Areas of Solids
HARD
10th CBSE
IMPORTANT
A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. The diameter of the hemisphere is and the total height of the vessel is . Find its capacity in cubic centimetres.

HARD
10th CBSE
IMPORTANT
A toy is in the form of a cylinder with hemispherical ends. If the whole length of the toy is and its diameter is , find the cost of painting the toy at the rate of paise per in Rupees.

EASY
10th CBSE
IMPORTANT
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is and the diameter of the capsule is . If the surface area is , find the value of .

MEDIUM
10th CBSE
IMPORTANT
A wooden article was made by scooping out a hemisphere from each end of a cylinder, as shown in the figure. If the height of the cylinder is and its base is of diameter , find the total surface area of the article when it is ready.
If total surface area of the article is , then find ?

MEDIUM
10th CBSE
IMPORTANT
A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is and the height of the cone is . The solid is placed in a cylindrical tub full of water in such a way that the whole solid is submerged in water. If the radius of the cylinder is and its height is , find the volume of the water left in the tub in cubic centimetres.
If the volume of the water left in the tub is , then find ?

MEDIUM
10th CBSE
IMPORTANT
From a solid cylinder whose height is and radius , a conical cavity of height and of base radius , is hollowed out. Find the volume of the remaining solid in cubic centimetres. Also, find the total surface area of the remaining solid in square centimetres. Take
If total surface area of the remaining solid is , then find ?

HARD
10th CBSE
IMPORTANT
From a solid cylinder of height and diameter , a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid in square centimetres.
If total surface area of the remaining solid is , then find ? (Use )

HARD
10th CBSE
IMPORTANT
From a solid cylinder of height and base diameter , two equal conical holes each of radius and height are cut off. Find the volume of the remaining solid in cubic centimetres.
If volume of the remaining solid is , then find ?
