Question

The curved surface area of a cylinder cylindrical pole is 264 m square and its volume is 924 m cube find its height

Answer 1

Hi ☺☺
Solution :

CSA of Cylinder = 264m²

2πrh = 264 m

r = 132/πh
r = 132 ×7/22h
r = 6×7/h
r = 42/h ____(1)


Now ,
Volume of Cylinder = 924m³

πr²h = 924

$\pi {( \frac{42}{h}) }^{2} h = 924 \\ \\ \frac{22}{7} \times \frac{42 \times 42 \times h}{ {h}^{2} } = 924 \\ \\ = > \frac{22 \times 42 \times 6}{h} = 924 \\ \\ = > h =\frac{22 \times 42 \times 6} {924} \\ \\ = > h = 6m$
Hence,
Height of Cylindrical Pole is 6m. ☺☺