Question

the curved surface area of right circular cylinder of height 14 cm is 220cm²find the diameter of the cylinder​

Answer 1

$\huge\colorbox{plum}{A᭄ɴsᴡᴇʀ}$

Diameter => 5 Cm

Answer 2

Given :

• Curved surface area of cylinder = 220 cm²
• Height of cylinder = 14cm

To find :

Diameter of cylinder

Formula used :

• Curved surface area of cylinder = 2πrh
• Diameter = 2×radius

Solution :

First of all we need to find radius of base of cylinder from formula of area of cylinder and thereafter we will find diameter

$\sf \implies \: 220 cm^2 \: = \: 2 \: \times \pi \times \: 14cm \times r$

$\sf \implies \: 220 cm^2 \: = \: 2 \: \times \dfrac{22}{7} \times \: 14cm \times r$

$\sf \implies \: 220 cm^2 \: = \: \dfrac{44}{7} \times \: 14cm \times r$

$\sf \implies \: 220 cm^2 \: = \: 44 \times \: 2cm \times r$

$\sf \implies \: 220 cm^2 \: = \: 88cm \times r$

$\sf \implies \: r \: = \: \dfrac{220 cm^2}{ \: \: 88cm }$

$\sf \implies \: r \: = \: 2.5 \: cm$

$\sf \implies \: Diameter \: = \: 2.5cm \times 2 \\ \sf \implies \: Diameter \: = \: \bold{5 \: cm}$

ANSWER : 5cm