Question

A right circular cone made of iron is of 8cm height and has base radius 2cm. It is melted and recast into a sphere. Determine the radius of sphere.

Answer 1

Answer:

2cm is the radius of sphere

Step-by-step explanation:

Volume of come =volume of sphere

So

$\frac{1}{3} \pi \: r {}^{2} h = \frac{4}{3} \pi \: a {}^{3}$

r= radius of cone, 2cm

h= height of cone ,8cm

Substituting the values we get

$2 {}^{2} \times 8 = \frac{4} \: \times \: a {}^{3}$

By solving we get

$a {}^{3} = 8 = = > a = 2$

Thus the. Radius of sphere is 2cm

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Answer 2

Step-by-step explanation:

A.Given,radius of cone=2cm

height of cone=8cm

volume of cone=1/3πr^2h

=1/3*22/7*4*8

=235(approxiametely)

volume of sphere=volume of cone

4/3πr^3. =235

r^3. =8

r. =2