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. *

Answer 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 :

${\boxed{\sf{CSA\: of\: cylinder=2\pi\:rh}}}$

According to the question,

2πrh = 132

$\implies$ 2×(22/7)×r×3 = 132

$\implies$r = 132 × (1/2) × (7/22) × (1/3)

$\implies$ r = 7

• Radius = 7 cm

Then,

• Diameter of the base = 2×7 = 14 cm.

_______________

Answer 2

Answer:

✡ Given ✡

$\leadsto$ The curved surface area of right circular cylinder of height 3 cm is 132 cm².

✡ To Find ✡

$\leadsto$ What is the diameter of the base of the cylinder.

✡ Formula Used ✡

$\bigstar\bold{\large{\fbox{\color{green}{CSA of Cylinder = 2πrh}}}}\bigstar$

✡ 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,

$\mapsto$ 2πrh = 132

$\implies$ 2 × $\dfrac{22}{7}$ × r × 3 = 132

$\implies$ r = $\dfrac{132 × 7}{2 × 22 × 3}$

$\implies$ r = 7 cm

$\therefore$ Diameter of the base is = 2r = 2 × 7 = 14 cm.

Step-by-step explanation:

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