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The lateral surface are of a cylinder is 1056 cm2 and its height is 16 cm. What is its volume ?
- a)5566 cm3
- b)4455 cm3
- c)5544 cm3
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The lateral surface are of a cylinder is 1056 cm2 and its height is 16...
2πrh = 1056 cm2
Most Upvoted Answer
The lateral surface are of a cylinder is 1056 cm2 and its height is 16...
Given: Lateral surface area of cylinder = 1056 cm², height = 16 cm
To find: Volume of cylinder
Formula used:
Lateral surface area of cylinder = 2πrh
Volume of cylinder = πr²h
Steps:
1. Let's first find the radius of the cylinder using the given information.
Lateral surface area of cylinder = 2πrh
1056 = 2πr(16)
r = 1056/(2π*16) = 33/π cm
2. Now, we can use the formula for the volume of cylinder to find the answer.
Volume of cylinder = πr²h
= π(33/π)²(16)
= 5544 cm³
Therefore, the volume of the cylinder is 5544 cm³, which corresponds to option (c).
To find: Volume of cylinder
Formula used:
Lateral surface area of cylinder = 2πrh
Volume of cylinder = πr²h
Steps:
1. Let's first find the radius of the cylinder using the given information.
Lateral surface area of cylinder = 2πrh
1056 = 2πr(16)
r = 1056/(2π*16) = 33/π cm
2. Now, we can use the formula for the volume of cylinder to find the answer.
Volume of cylinder = πr²h
= π(33/π)²(16)
= 5544 cm³
Therefore, the volume of the cylinder is 5544 cm³, which corresponds to option (c).
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The lateral surface are of a cylinder is 1056 cm2 and its height is 16 cm. What is its volume ?a)5566 cm3b)4455 cm3c)5544 cm3d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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