The curved surface area of a cylinder the is\: 704{cm}^(2). Calculate the height when the radius is 8cm(take \: \pi = (22)/(7) )

Question

The curved surface area of a cylinder the is
`\: 704{cm}^(2)`. Calculate the height when the radius is 8cm
`(take \: \pi = (22)/(7) )`

Answer 1

Given that the curved surface area of a cylinder is 704 cm^2.

We have to find the height of the cylinder when the radius is 8 cm.

We know that the formula of the curved surface area of the cylinder is given by:

`A=2\pi rh`

Put r = 8 and pi = 22/7 in the formula:

`\begin{gathered} A=704 \\ 2\pi rh=704 \\ 2*(22)/(7)*8* h=704 \\ h=(704*7)/(2*22*8) \\ h=14 \end{gathered}`

Thus, the height of the cylinder is 14 cm.