# 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. - Mathematics

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.

#### Solution

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

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 22 Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)
Exercise 22.1 | Q 4 | Page 10