Question

A cubical block of side 7cm is surmounted by a hemisphere.what is the greatest diameter the hemisphere can have? find the surface area of the solid.​

Answer 1

A cubical block of side 7 is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of solid

From the figure, it can be observed that the greatest diameterpossible for such hemisphere is equal to the cube’s edge, i.e.,7cm.

Radius (r) of hemispherical part = =

$r = \frac{7}{2}$

= 3.5cm

Total surface area of solid = Surface area of cubical part + CSA of hemispherical part− Area of base of hemispherical part...

$6(side) ^{2} + 2\pi \: r^{2} - \pi \: r ^{2}$

$6(side)^{2} + \pi \: r ^{2}$

$6 ({7})^{2} + \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2}$

=294+38.5

=32.5

Hope it helps