The surface area of a cylinder is given by the formula SA = 2r2 + 2rh.

A cylinder has a radius of 15 cm and a surface area of 1,770 cm2 .

Find the height of the cylinder.

Question

The surface area of a cylinder is given by the formula SA = 2r2 + 2rh.

A cylinder has a radius of 15 cm and a surface area of 1,770  cm2 .

Find the height of the cylinder.

anonymous · Answer

@iGreen

anonymous · Answer

sorry for asking you all the time

igreen · Answer

$SA = 2r^2 + 2rh$

Is that 2 an exponent? the one after 2r.

igreen · Answer

It's fine, I'm on here to help people like you :P

anonymous · Answer

yea

anonymous · Answer

its an exponent

igreen · Answer

$SA = 2r^2 + 2rh$

Plug in what we know:

$1770 = 2(15)^2 + 2(15)h$

Simplify the exponent:

$1770 = 2(225) + 2(15)h$

Multiply:

$1770 = 450 + 2(15)h$

Multiply:

$1770 = 450 + 30h$

Subtract 450 to both sides:

$1320 = 30h$

Divide 30 to both sides:

$h = 44$