Question

The height and radius of a cylinder are equal and its curved surfaces area is 2772 sqaure cm. Find the circumference of the base of the cylinder.​

Answer 1

The answer is = 93.32cm

Explanation:

The height and radius are equal of this cylinder

`s = 2\pi \: r(r + h)`

(The surface area of the cylinder)

=

`2\pi \: r(r + h)`

2772= 2× 344×r×2r ( s=2772 Given)

`{r}^(2) = (2772)/(2 * 344 * 2)`

`= 2207`

`r = √(2207) \\ = 14.86cm`

`c = 2\pi \: r(the \: circumfrence \: formule)`

`= 2 * 3.14 * 14.86`

`= 93.32(cm)`

Answer 2

131.9 cm

Explanation:

h = r

Lateral area of cylinder: 2πrh

Since r = h, the lateral surface area = 2πr²

2πr² = 2772

r² = 2772/(2π)

r² = 441.2

r = 21 cm

circumference = 2πr

circumference = 2π(21 cm)

circumference = 131.9 cm