Question

The curved surface area of a cylinder is 264m square and its volume is 924 m qube . Find the ratio of its height to its diameter

Answer 1

step 1
$csa = 2\pi \times r \times h$
$264 = 2\pi \: r \: h$
$264 = 2 \times \frac{22}{7} \times rh$
$\frac{264 \times 7}{2 \times 22} = rh$
step2
$v = \pi \:{ r}^{2} h$
$924 = \pi {r}^{2} h$
$\frac{924 \times 7}{22} = {r}^{2}h$
$\frac{924 \times 7}{22 \times r} = rh$
step 3
rh=rh
$\frac{264 \times 7}{22 \times 2} = \frac{924 \times 7}{22 \times r}$

$= \frac{264}{2 } = \frac{924}{r}$
$r = \frac{924 \times 2}{264}$
further simplify and try d answer u should get an idea of solving d problem.
all d best:)