Question

TSA = 1232m^2 ,Height = 21m find diameter​

Answer 1

Total surface area = 1232m²

height = 21m

find : diameter

we know that,

$tsa \: = 2\pi \times rh \: + 2\pi \times {r}^{2}$

$tsa \: = 2\pi(h + r)$

$1232 = 2\pi(21 + r)$

$\frac{1232}{2} = \pi(21 + r)$

$616 = \pi(21 + r)$

we know that pi = 22l7

$616 = \frac{22}{7}(21 + r)$

transposing 22l7 to LHS

$616 \div \frac{22}{7} = 21 + r$

$616 \times \frac{7}{22} = 21 + r$

$28 \times 7 = 21 + r$

196 = 21 + r

196 - 21 = r

175 = radius

diameter = 175 + 175 = 350m

hope it helps

have a great day

Answer 2

TSA= 1232m^2

height= 21m

Total surface area of cylinder = 2πr(h+r)

1232= 2 22/7 r(21+r)

v v 1232×7/2×22= r^2

196 =r^2

√196 = r

r = 14 m

therefore radius of cylinder is 14 m

diameter = 14 ×2

28 m