Question

The largest sphere is curved out of a cube of side 7cm. Find the volume of the sphere.

Answer 1

Step-by-step explanation:

$\sf{\underline{\red{\underline{\green{Question:-}}}}}$

the largest sphere is curved out of a cube of side 7cm . find the volume of the sphere.

$\sf{\underline{\red{\underline{\green{Given:-}}}}}$

$\sf Side\:of\:cyber=7cm$

$\sf diameter\:of\:sphere=7cm$

$\sf radius=\frac{Diameter}{2}= \frac{7}{2}$

$\sf{\underline{\red{\underline{\green{Formula \:used:-}}}}}$

$\sf{\red{\fbox{\underline{\blue{Volume\:of\:Sphere=\frac{4}{3}πr^3}}}}}$

$\sf{\underline{\red{\underline{\green{Solution:-}}}}}$

$\sf →Volume=\frac{4}{3}×\frac{22}{7}×\frac{7}{2}×\frac{7}{2}×\frac{7}{2}\\\sf→Volume= \frac{11×49}{3}\\\sf→ Volume= 179.66cn^3$

$\sf{\underline{\red{\underline{\green{Hence:-}}}}}$

Volume of sphere is = $\sf 179.66cm^3$