Question

From a solid cylinder of height 12 cm, a hemisphere is taken out from one end of the cylinder with the same diameter as that of the cylinder. The diameter of the hemisphere is 6 cm. Find out the total surface area of the remaining solid.

Answer 1

Step-by-step explanation:

Total surface area = Surface area of curved face + bace area + hemisphare curevd area

Surface area of curved

$\frac{22}{7} \times 6 \times 12 \\ = \frac{22}{7} \times 72$

Base area

$\frac{22}{7} \times {3}^{2} \\ = \frac{22}{7} \times 9$

Hemisphare curved

$2 \times \frac{22}{7} \times {3}^{2} \\ = \frac{22}{7} \times 18$

total surface area

$\frac{22}{7} \times 72 + \frac{22}{7} \times 9 + \frac{22}{7} \times 18 \\ = \frac{22}{7} (72 + 9 + 18) \\ = \frac{22}{7} \times 99 \\ = 311 \: aprox$