# The curved surface area of a right circular cylinder of height 14 cm is 88 cm^2. Find the diameter of the base of the cylinder. - Mathematics

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder.

Assume pi = 22/7

#### Solution

Height (h) of cylinder = 14 cm

Let the diameter of the cylinder be d.

Curved surface area of cylinder = 88 cm2

⇒ 2πrh = 88 cm2 (is the radius of the base of the cylinder)

⇒ πdh = 88 cm2 (d = 2r)

rArr22/7xxd xx14cm = 88" cm"^2

⇒ = 2 cm

Therefore, the diameter of the base of the cylinder is 2 cm.

Concept: Surface Area of Cylinder
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#### APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.2 | Q 1 | Page 216