Solution of Chapter 20. Volume and Surface Area (MHB - Mathematics Book)

A cylinder has a base of radius 5 cm and height of 21 cm. What is its volume?

The diameter of the base of a cylinder is 14 cm and its height is 17 cm. What is its volume?

The volume of a cylinder is 2512 cu cm and its height is 12.5 cm. Find the radius of its base. (Take π = 3.14)

A cylindrical tank has a height of 40 cm and a diameter of 70 cm. How many litres of water can it hold?

(1000 cu cm = 1 litre)

The circumference of the base of a cylinder is 132 cm. Its height is 25 cm. What is the volume of the cylinder?

What is the volume of the iron required to make a 70 cm long rod of 2.1 cm diameter?

The radius of the base of a cylindrical tank is 0.4 m and its height is 0.8 m. How many litres of oil will the tank hold?

(π = 3.14, 1 litre = 1000 cu cm)

The radius of the base of a cylindrical wooden block is 5 cm and its volume is 1100 cu cm. How many discs of radius 5 cm and height 2 cm can be cut from this block of wood?

The radius of a cylinder is 8 cm and its height is 35 cm. What is the area of its curved surface?

A cylinder has a height of 1 m and the circumference of its base is 176 cm. How many sq cm is its total surface area?

A cylinder has a height of 15 cm and the radius of its base is 5 cm. What is the area of its curved surface?

(Take π = 3.14)

The total surface area of a cylinder is 8448 sq cm. If the radius of its base is 28 cm, what is its height?

The radius of the base of a cylindrical column of a building is 25 cm and its height is 3.5 m. It costs Rs 15.50 per sq m to paint this column. What will it cost to paint 10 such column?

The total surface area of a cylinder is 2464 sq cm. The height and radius of the cylinder are equal. Find the radius of its base.

Find the volume of a cone of height 7 cm and a base radius of 9 cm.

If the height of a cone is 18 cm and the volume is 924 cu cm, find the radius of its base.

Find the volume of a cone-shaped figure if its base has a radius of 7 cm and its slant height is 25 cm.

A cone has a volume of 462 cu cm and a height of 9 cm. find the radius of its base.

The volume of a cone is 9856 cu cm. If the diameter of its base is 28 cm, what is its height and its slant height?

The radius of the base of a cone is 5 cm while its height is 12 cm. Find the volume of this cone.

(Take π = 3.14)

The slant height of a cone is 10 cm and the radius of its base is 7 cm. What is its curved surface area?

A cone has a slant height of 9 cm and a base radius of 7 cm. Find (i) its curved surface area (ii) total surface area.

The radius of the base of a cone is 9 cm and its height is 40 cm. What is its curved surface area? What is its total surface area?

(π = 3.14)

The height of a cone-shaped tent is 10 m and the radius of its base is 24 m.

(i) What is its slant height?

(ii) What is the amount of fabric required to make this tent? (π = 3.14)

How much metal sheet will be required to make a cone of height 4 m and base radius 3m? (π = 3.14)

The slant height of an icecream cone is 12 cm and its curved surface area is 113.04 sq cm. What is the radius of the base of this cone? (π = 3.14)

The height of a cone-shaped paper hat is 24 cm and the radius of the base is 7 cm. How much paper will be required to make 10 such hats?

The radius of a sphere is 30 cm, what is its volume? (π = 3.14)

The volume of a sphere is 36000π cu cm. What is its radius?

Twenty-seven spheres of radius ’r’ were melted and one new sphere was formed. What is the radius of this sphere?

Find the surface area of spheres of the following radii.

(1)

(2)

(3)

(4)

(5)

(6)

If the surface area of a sphere is 616 sq cm, find its radius.

If the surface area of a sphere is 314 sq cm find its volume.

(Take π = 3.14)

The diameter of an inflated ball is 18 cm. How many cubic centimetres of air does it contain? What is the surface area of the ball? (π = 3.14)