Question

The given fig. shows the cross-section of a cone, cylinder and hemisphere all with the same diameter 14 cm. the height of the cone is 24 cm and height of cylinder is 30 cm.
Find the
i)Volume.
ii) Total surface area of the solid​

Answer 1

Answer:

6930 cm³

Step-by-step explanation:

total volume is volume of cone +volume of cylinder+volume of hemisphere

$v = \pi {r}^{2} \frac{h}{3} + \pi {r}^{2}h + \frac{2}{3} \pi {r}^{3}$

$v = \pi \times {r}^{2} \times ( \frac{h}{3} + h + \frac{2}{3} r) \\ = \pi {7}^{2} ( \frac{24}{3} + 30 + 7)$

$= \frac{22}{7} \times {7}^{2} \times (8 + 30 + 7)$

$= 6930 \: \: {cm}^{3}$