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A cylinder has radius of 7cm and its volume is 1540cm3, what is the height of the cylinder? (Take π = 22/7)
- a)10cm
- b)14cm
- c)11cm
- d)15cm
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A cylinder has radius of 7cm and its volume is 1540cm3, what is the he...
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, the radius (r) is given as 7 cm and the volume (V) is given as 1540 cm^3.
Plugging these values into the formula, we get:
1540 = π(7^2)h
1540 = 49πh
To solve for h, we divide both sides of the equation by 49π:
h = 1540 / (49π)
Using an approximation of π as 3.14, we can evaluate this expression:
h ≈ 1540 / (49 * 3.14)
h ≈ 1540 / 153.86
h ≈ 10 cm
Therefore, the height of the cylinder is approximately 10 cm.
In this case, the radius (r) is given as 7 cm and the volume (V) is given as 1540 cm^3.
Plugging these values into the formula, we get:
1540 = π(7^2)h
1540 = 49πh
To solve for h, we divide both sides of the equation by 49π:
h = 1540 / (49π)
Using an approximation of π as 3.14, we can evaluate this expression:
h ≈ 1540 / (49 * 3.14)
h ≈ 1540 / 153.86
h ≈ 10 cm
Therefore, the height of the cylinder is approximately 10 cm.
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Community Answer
A cylinder has radius of 7cm and its volume is 1540cm3, what is the he...
Volume of a cylinder having radius r and height h is equal to πr2h.
πr2h = 1540
22/7 * 7 * 7 * h = 1540
h = 10cm.
πr2h = 1540
22/7 * 7 * 7 * h = 1540
h = 10cm.
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A cylinder has radius of 7cm and its volume is 1540cm3, what is the height of the cylinder? (Take π = 22/7)a)10cmb)14cmc)11cmd)15cmCorrect answer is option 'A'. Can you explain this answer?
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