3. Find the radius of the base of a right circular cyl-
inder whose height is 14cm and curved surface area
is 176 sq. cm.
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Answer:
answer is 2 cm by using the relation 2pie rh
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✬ Radius = 14 cm ✬
Step-by-step explanation:
Given:
Curved surface area of right circular cylinder is 176 cm².
Measure of height of cylinder is 2 cm
To Find:
What is the measure of radius of base ?
Solution: Let r be the radius of cylinder.
As we know that
★ CSA of Cylinder = 2πrh ★
A/q
CSA = 176 cm²
⟹ 176 = 2πrh
\implies{\rm }⟹ 176 = 2(22/7)(r)(2)
\implies{\rm }⟹ 176 = 44/7(2r)
\implies{\rm }⟹ 176 = 88r/7
\implies{\rm }⟹ 176 \times× 7 = 88r
\implies{\rm }⟹ 1232 = 88r
\implies{\rm }⟹ 1232/88 = r
\implies{\rm }⟹ 14 = r
Hence, measure or radius of base of cylinder is 14 cm.
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