Question

the height of a cylinder is 15 cm and the curved surface area is 660cm². find its radius,total surface area and volume.​

Answer 1

Given,

height = 15 cm
CSA = 660 ${660cm}^{2}$
radius,r = ?
TSA = ?
VOLUME = ?

We know,

CSA = 2πrh
=> 660 = 2 × $\frac{22}{7}$ × r × 15

=> 660 = $\frac{660}{7}$ × r

=> 660 × $\frac{7}{660}$ = r

=> $\therefore$ r = 7 cm
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$TSA = 2\pi \times r(r + h) \\ \\ = 2 \times \frac{22}{7} \times 7 (7 + 15) \\ \\ = 44 \times 22 \\ \\ = 968 {cm}^{2}$
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$volume =\pi \times {r}^{2} \times h \\ \\ = \frac{22}{7} \times {7}^{2} \times 15 \\ \\ = \frac{22}{7} \times 49 \times 15 \\ \\ = 2310 {cm}^{3}$

Answer 2

have a nice day........