Question

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

Answer 1

We have,

Side of cubical block$=7cm.$

Then radius of hemisphere $=\frac{7}{2}cm=3.5cm.$

Then,

Total surface area of the solid=Total surface area of cube-Area of base of hemisphere +curved surface area of hemisphere.

$\Rightarrow TSA=6\times 7^2-\pi \times {\left(3.5\right)}^2+2\pi {\left(3.5\right)}^2$

$\Rightarrow TSA=332.465c{m}^2.$

Hence, this is the answer.