Question

Q. 1. A solid is in the form of a cylinder with
hemispherical end. The total height of the solid
is 20 cm and the diameter of the cylinder is 7 cm.
22
Find the total volume of the solid. Use
$\pi = 3.14$

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Answer 1

Answer:

Diameter of cylinder = 7 cm

Height of cylinder = 20-7 = 13 cm = H

\begin{align*}\text{Total Volume} &= \pi R^2 H + \frac{4}{3}\pi R^3 \ cm^2 \\ & = \pi \left(\frac{7}{2} \right )^2\cdot 13 + \frac{4}{3}\pi \left(\frac{7}{2}\right )^3 \\ & = \frac{22}{7}\times \frac{49}{4}\left(13 + \frac{4}{3}\cdot \frac{7}{2} \right ) \ cm^3 \\ & = \frac{77\times 53}{6}\\ & = 680.17 \ cm^3\end{align*}