The largest sphere is carved out of a cube of edge 14 cm Find the volume of the sphere
$1370 c m^{3}$
$1437 c m^{3}$
$1800 c m^{3}$
$1734 c m^{3}$

Question

The largest sphere is carved out of a cube of edge 14 cm Find the volume of the spheredisplaystyle 1370cm-3-displaystyle 1437cm-3-displaystyle 1800cm-3-displaystyle 1734cm-3-

Toppr Admin · Accepted Answer

Radius of the largest sphere-142-17cm-x2234- Volume-43-x3C0-r3-43-xD7-227-xD7-7-xD7-7-xD7-7-x223C-1437cm3

The largest sphere is carved out of a cube of edge 14 cm Find the volume of the sphere1370cm31437cm31800cm31734cm3

Radius of the largest sphere=142=17cm∴ Volume=43πr3=43×227×7×7×7∼1437cm3

The largest sphere is carved out of a cube of edge 14 cm Find the volume of the sphere
$1370 c m^{3}$
$1437 c m^{3}$
$1800 c m^{3}$
$1734 c m^{3}$

Radius of the largest sphere= $\frac{14}{2} = 17 c m$
$∴$ Volume= $\frac{4}{3} π r^{3} = \frac{4}{3} \times \frac{22}{7} \times 7 \times 7 \times 7 \sim 1437 c m^{3}$