if lateral surface area of a cylinder is 94.2cm square and its height is 5cm then find i . radius of its base ii. its volume (use pie = 3.4)
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step by step explanation please
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Step-by-step explanation:
Height 5 cm
Lateral surface area of cylinder = 94.2 cm^2
LSA of cylinder = 2 * 3.14 * r * h
=> 94.2 = 2 * 3.4 * r * 5
=> 94.2 / 3.14 = 2 * r * 5
=> 30 = 10 * r
=> 30 / 10 = r
=> 3 = r
So Radius of cylinder = 3 cm
Now volume of cylinder = pie * r^2 * h
= 3.14 * 3^2 * 5
= 3.14 * 9 * 5
= 3.14 * 45
= 141.30 cm^3
Hope this answer helped you :-)
Answered by
1
Answer:
Given,
h = 5cm
⇒Let radius = r
(i) Curved Surface Area
⇒94.2cm² = 2πrh
⇒94.2 cm² = 2 × 3.14 × r × 5cm
⇒r=3cm
(ii) Volume of cylinder
⇒πr²h = 3.14 × 3 × 3 × 5 = 141.2cm³
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