Question

The circumference of the base of a cylinder is 88 cm and its height is 15 cm. Find its curved surface area and total surface area.

 

Answer 1

\[\text{ Given } : \]
\[\text{ Height, h = 15 cm } \]
\[\text{ Circumference of the base of the cylinder  = 88 {cm } }^2 \]
\[\text{ Let r be the radius of the cylinder }  . \]
\[\text{ The circumference of the base of the cylinder } = 2\pi r\]
\[88 = 2 \times \frac{22}{7} \times r\]
\[r = \frac{88 \times 7}{2 \times 22} = 14 cm\]
\[\text{ Curved surface area } = 2 \times \pi \times r \times h\]
\[ = 2 \times \frac{22}{7} \times 14 \times 15\]
\[ = 1320 {\text{ cm} } ^2 \]
\[\text{ Total surface area } = 2 \times \pi \times r \times (r + h)\]
\[ = 2 \times \frac{22}{7} \times 14 \times (14 + 15)\]
\[ = 2552 \text{ cm } ^2 \]