Question

a tent is in the form of a cone mounted on a cylinder. The radius and height of the cylinder and 16m and 30m respectively. The height of the cone is 12m . Find the area of the canvas required.​

Answer 1

Given :-

A tent in the form of a cone mounted on a cylinder.

The radius, r and height, H of the cylinder are 16 m and 30 m respectively.

The radius and height of the cone are 16 m and 12 m respectively.

To Find :-

Area of the canvas required.

Solution :-

We have,

Radius, r = 16 m

Height, H = 30 m

So,

⇒ C.S.A of Cylinder = 2πrH

⇒ C.S.A of Cylinder = 2×π×16×30

⇒ C.S.A of Cylinder = 960π m²

Further, The area of canvas required is,

⇒ CSA of Cone + CSA of Cylinder

⇒ 320π + 960π

⇒ 1280π m²

Hence, The area of canvas required

is 1280π m²

Answer 2

Given :-

• A tent in the form of a cone mounted on a cylinder.

• The radius, r and height, H of the cylinder are 16 m and 30 m respectively.

• The radius and height of the cone are 16 m and 12 m respectively.

To Find :-

• Area of the canvas required.

Solution :-

We have,

Radius, r = 16 m

Height, H = 30 m

So,

⇒ C.S.A of Cylinder = 2πrH

⇒ C.S.A of Cylinder = 2×π×16×30

⇒ C.S.A of Cylinder = 960π m²

Further, The area of canvas required is,

⇒ CSA of Cone + CSA of Cylinder

⇒ 320π + 960π

⇒ 1280π m²

Hence, The area of canvas required

is 1280π m²