HARD
10th CBSE
IMPORTANT
Earn 100

A rocket is in the form of a circular cylinder closed at the lower end and with a cone of the same radius attached to the top. The cylinder is of radius 2.5 m and height 21 m and the cone has the slant height 8 m. Calculate the total surface area and the volume of the rocket. (Use the value of π=3.14).

Important Questions on Surface Areas and Volumes

HARD
10th CBSE
IMPORTANT

A tent of height 77 dm is in the form of a right circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of the canvas at 3.50 per m2. (Use π=22/7)

HARD
10th CBSE
IMPORTANT
A toy is in the form of a cone surmounted on a hemisphere. The diameter of the base and the height of the cone are 6 cm and 4 cm, respectively. Determine the surface area of the toy. ( Use π=3.14)
HARD
10th CBSE
IMPORTANT
A solid is in the form of a right circular cylinder, with a hemisphere at one end and a cone at the other end. The radius of the common base is 3.5 cm and the heights of the cylindrical and conical portions are 10 cm and 6 cm, respectively.  Find the total surface area of the solid. ( Use π=22/7)
HARD
10th CBSE
IMPORTANT
A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are 5 cm and 13 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Find the surface area of the toy if the total height of the toy is 30 cm. ( Use π=3.14)
HARD
10th CBSE
IMPORTANT
A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed in the tub. If the radius of the hemisphere is 3.5 cm and height of the cone outside the hemisphere is 5 cm, find the volume of the water left in the tub (Take π=22 / 7 )
HARD
10th CBSE
IMPORTANT

A circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 m. The heights of the cylindrical and conical portions are 4.2 m and 2.1 m, respectively. Find the volume of the tent. (Take π=22 / 7 )

HARD
10th CBSE
IMPORTANT

A petrol tank is a cylinder of base diameter 21 cm and length 18 cm fitted with conical ends each of axis length 9 cm. Determine the capacity of the tank. (Take π=22 / 7 )

HARD
10th CBSE
IMPORTANT

A conical hole is drilled in a circular cylinder of height 12 cm and base radius 5 cm. The height and the base radius of the cone are also the same. Find the whole surface area and volume of the remaining cylinder in terms of π.