Question

A right cylinder has a radius of r inches and height of 2r inches.

In terms of r, the lateral area of the cylinder is
r2π square inches.

The area of the two bases together is r2π square inches.

The total surface area of the cylinder is
r2π square inches.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

1)

Lateral Area=4πr² square inches.

2)

Area of two bases=2πr² square inches.

3)

Total surface area of cylinder=6πr² square inches.

Step-by-step explanation:

We are given a radius of cylinder as: r inches

and the height (h) of cylinder=2r inches.

1)

We know that the lateral area of the cylinder is given by:

Lateral Area=2πrh

                    =2 ×π×r×2r

                   = 4πr² square inches.

2)

We know that the base of a cylinder is in the shape of a circle whose radius is 'r'

Hence, The area of two circle of radius r is given by:

Area of two base=2πr² square inches.

3)

The total surface area of the cylinder is :

Lateral surface area+Area of two bases.

=4πr²+2πr²

= 6πr² square inches.