Question

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A cone of height 24 cm and radius of base 6 cm is made up of mode
clay. A child reshapes it in the form of a sphere. Find the radius of the
sphere and hence find the surface area of this sphere.

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Answer 1

Given that : A cone of height 24 cm and radius of base 6 cm is made up of mode clay.

As we know that the Volume of cone = 1/3πr²h

Volume of cone :

$\frac{1}{3} \times \pi \times 6 \times 6 \times 24 = 288\pi$

Also given that : A child reshapes it in the form of a sphere.

As we know that : Volume of Sphere = 4/3πr²h

According to the question :

Volume of Sphere = Volume of Cone

Volume of sphere = 288π cm³

$= > \frac{4}{3} \pi {r}^{3} = 288\pi \\ \\ = > {r}^{3} = 216 \\ \\ = > r = 6$

So, the radius of sphere will be 6 cm

Now, total surface area of sphere = 4πr²

$= > 4 \times \frac{22}{7} \times 6 \times 6 = 452.5 {cm}^{2}$

So, the surface area of sphere will be 452.5cm²

✌️_____ Fóllòw MË _____✌️

Answer 2

Answer:

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