Area of base of a cone is 24cm² and height is 6cm the volume of cone is
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Answer :-
- Hint: The cone is remodelled into the shape of a sphere. So the volume of the cone and sphere will be the same. Find the volume of the cone and equate it to the volume of the sphere to get the radius of the sphere.
- Complete step-by-step answer:
- It is given that a child reshapes cones into a sphere. Thus the volume will remain the same.
- ∴ Volume of cone = volume of the sphere.
- First we need to find the volume of cones.
- Given that height of cone, h = 24cm.
- Similarly, radius r of the cone, r = 6cm.
- We know that the volume of cones is given by 13πr2h.
- ∴Volume of cone = 13πr2h.
- Substitute the values of r and h in the equation of volume of cone.
# Kɑnt Jɑtti
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V= πr² h
---
3
(OR)
V=1/3hπr²
Answer:- 48cm³
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