Question

A solid is in the form of a cylinder with hemispherical ends.The total height of the solid is 20cm and the diameter of the cylinder is 7cmFind the total volume of the solid

Answer 1

Answer:

The total volume of the solid is $948.8\ cm^{3}$ .

Step-by-step explanation:

Formula

$Volume\ of\ a\ cylinder = \pi r^{2} h$

$Volume\ of\ a\ hemisphere = \frac{2}{3} \pi r^{3}$

Where r is the radius and h is the height .

As given

A solid is in the form of a cylinder with hemispherical ends.

.The total height of the solid is 20cm and the diameter of the cylinder is 7cm .

$Radius = \frac{Diameter}{2}$

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

Radius = 3.5 cm

$\pi = 3.14$

Put all the values in the formula

Total volume = Volume of a cylinder + 2 × Volume of a hemisphere $Total\ voume = 3.14\times 3.5\times 3.5\times 20 + 2\times \frac{2}{3}\times 3.14\times 3.5\times 3.5\times 3.5$

$Total\ voume = 769.3 +\frac{538.51}{3}$        

$Total\ voume = 769.3 +179.50$    

$Total\ voume =948.8\ cm^{3}$

Therefore the total volume of the solid is $948.8\ cm^{3}$ .