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A cylindrical container is filled with icecream whose diameter is 12 cm and height 15 cm. The whole ice-cream cone?
- a)6 cm
- b)4 cm
- c)8 cm
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A cylindrical container is filled with icecream whose diameter is 12 c...
Let r be the radius of base of the conical part.
Height of the conical part = 4r
Volume of cone with hemispherical top = volume of cone + volume of hemispherical top
Volume of 10 such cones with hemispherical top
= 10 × 2πr3 = 20πr3 cm3
Volume of cylindrical container
20πr3 = 540π
r3 = 27 ⇒ r = 3 cm.
diameter = 3 × 2 = 6 cm
Height of the conical part = 4r
Volume of cone with hemispherical top = volume of cone + volume of hemispherical top
Volume of 10 such cones with hemispherical top
= 10 × 2πr3 = 20πr3 cm3
Volume of cylindrical container
20πr3 = 540π
r3 = 27 ⇒ r = 3 cm.
diameter = 3 × 2 = 6 cm
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A cylindrical container is filled with icecream whose diameter is 12 cm and height 15 cm. The whole ice-cream cone?a)6 cmb)4 cmc)8 cmd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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