Question

the curverd surface area of a right circular of height 14cm is 88 cm2 find the diameter of the base of the base of the cylinder , assume π=22/7​

Answer 1

Answer: Kindly refer attachment :)

Step-by-step explanation:

This problem will be solved by using the formula for finding surface area of a cylinder. Refer the attachment for the complete solution.

Answer 2

Answer :-

• Diameter of the base of the cylinder = 2 cm

Given :-

• Height of cylinder = 14 cm
• CSA of cylinder = 88 cm²

To Find :-

• Diameter of the base of the cylinder = ?

Explanation :-

In order to find the Diameter of the base of the cylinder, First we need to find the Radius of the cylinder.

$\underline { \boxed { \rm \implies \bold {C.S.A \; of \; cylinder = 2 \pi rh} }}$

Now, Finding 'r' by substituting the values

$\rm \implies 2 \pi rh = 88 \; cm^2 \\ \\ \\ \rm \implies 2 \times \dfrac{22}{7} \times r \times 14 = 88 \; cm^2 \\ \\ \\ \rm \implies r = \dfrac{88 \times 7}{2 \times 22 \times 14} \; cm \\ \\ \\ \rm \implies r = \dfrac{616}{616} \; cm \\ \\ \\ \underline { \boxed { \rm \implies \bold { r = 1 \; cm }}}$

Now, Finding the Diameter of the base

$\rm \implies Diameter = 2 \times Radius \\ \\ \rm \implies Diameter = 2 \times 1 \\ \\ \underline { \boxed { \rm \implies \bold { Diameter = 2 \; cm}}}$

Hence, the Diameter of the base of the cylinder is 2 cm

@Agamsain