## The curved surface area of right circular cylinder of height 3 cm is 132 square cm. Find the diameter of the base of the cylinder. *

Question

The curved surface area of right circular cylinder of height 3 cm is 132 square cm. Find the diameter of the base of the cylinder. *

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2 weeks 2021-10-04T02:36:21+00:00 2 Answers 0 views 0

1. Diameter of the base of the cylinder is 14 cm.

Step-by-step explanation:

Given :

• The curved surface area of right circular cylinder of height 3 cm is 132 cm².

To find :

• Diameter of the base of the cylinder.

Solution :

Let the radius of the right circular cylinder be r cm.

Then the diameter = 2r cm

• Height = 3 cm
• CSA = 132 cm

Formula used : According to the question,

2πrh = 132 2×(22/7)×r×3 = 132 r = 132 × (1/2) × (7/22) × (1/3) r = 7

Then,

• Diameter of the base = 2×7 = 14 cm.

## _______________

### ✡Given ✡ The curved surface area of right circular cylinder of height 3 cm is 132 cm².

### ✡ToFind ✡ What is the diameter of the base of the cylinder.

### ✡FormulaUsed ✡ ### ✡ Solution ✡

Let the radius of the right circular cylinder be r cm

And, the diameter will be 2r cm

Given:

• Height(h) = 3 cm
• Curved Surface Area(CSA) = 132 cm

According to the question by using the formula we get, 2πrh = 132 2 × × r × 3 = 132 r =  r = 7 cm Diameter of the base is = 2r = 2 × 7 = 14 cm.

Step-by-step explanation: