Question

Volume of cylinder is 84πrcm^2 and height is 7 cm find the TSA of cylinder

Answer 1

Answer is 1433.14 cm^2.

Step by step :-

Here volume of cylinder = 84.π.r cm^2.

$\pi {r}^{2} h = 84\pi \: r \\ {r}^{2} h = 84r \\ rh = 8 \\ r \times 7 = 84 \\ r = 12cm$

TSA :-

$= 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 12(7 + 12) \\ = 2 \times \frac{22}{7} \times 12 \times 19 \\ = 1433.14 {cm}^{2}$

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