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The volume of a solid cylinder with height 6 cm is 231 cm3. The radius of the cylinder is∶
- a)21 cm
- b)2.1 cm
- c)35 cm
- d)3.5 cm
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The volume of a solid cylinder with height 6 cm is 231 cm3. The radius...
Given:
Height of the cylinder= 6 cm
Volume of the cylinder = 231 cm3
Formula used:
Volume of cylinder = πr2h
Volume of cylinder = πr2h
where,
r = radius of cylinder
h = height of cylinder
Calculations:
Volume of cylinder = πr2h
⇒ 231 = (22/7) × r2 × 6
⇒ r2 = 231 × (7/22) × (1/6)
⇒ r2 = 12.25
⇒ r = √12.25
⇒ r = 3.5 cm
∴ The radius of the cylinder is 3.5 cm.
Most Upvoted Answer
The volume of a solid cylinder with height 6 cm is 231 cm3. The radius...
Given:
Height of the cylinder= 6 cm
Volume of the cylinder = 231 cm3
Formula used:
Volume of cylinder = πr2h
Volume of cylinder = πr2h
where,
r = radius of cylinder
h = height of cylinder
Calculations:
Volume of cylinder = πr2h
⇒ 231 = (22/7) × r2 × 6
⇒ r2 = 231 × (7/22) × (1/6)
⇒ r2 = 12.25
⇒ r = √12.25
⇒ r = 3.5 cm
∴ The radius of the cylinder is 3.5 cm.
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The volume of a solid cylinder with height 6 cm is 231 cm3. The radius of the cylinder isa)21 cmb)2.1 cmc)35 cmd)3.5 cmCorrect answer is option 'D'. Can you explain this answer?
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