Question

A solid right circular cone or radius 4 cm and height 7 cm is melted to form a sphere. Find the radius of sphere

Answer 1

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Answer 2

Answer:

3.03 cm.

Step-by-step explanation:

Radius of cone = 4 cm

Height of cone = 7 cm

Volume of cone = $\frac{1}{3} \pi r^{2} h$

                           = $\frac{1}{3} \times 3.14\times 4^{2} \times 7$

                           = $117.2cm^3$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

Since we are given that A solid right circular cone or radius 4 cm and height 7 cm is melted to form a sphere.

So, Volume of both will remain same .

$117.2=\frac{4}{3} \pi r^{3}$

$\frac{117.2 \times3}{4 \times3.14}= r^{3}$

$27.99= r^{3}$

$\sqrt[3]{27.99}=r$

$3.03=r$

Thus the radius of sphere is 3.03 cm.