Question

in a cylinder radius is 7 and surface area is 210pie find the height and volume of the cylinder

Answer 1

volume = 1232 cm³. h= 8cm

Answer 2

$radius = 7 \\ surface \: area \: of \: a \: cylinder \: = 210\pi$
$surface \: area \: of \: a \: cylinder \: = 2\pi \: r \: h$
$210\pi \: = 2\pi \: 7 \: h$
210 = 2 × 7 × h
210 = 14 × h
210/14 = h
h = 15

$volume \: of \: a \: cylinder \: = \\\pi\: {r \:}^{2} h$
$volume \: of \: cylinder = 3.14 \times {7}^{2} \times 15$
3.14 × 7 × 7 × 15
$volume \: = 2301.9$