Question

A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is 14/3 m and the diameter of hemisphere is 3.5 m. Calculate the volume and the internal surface area of the solid.

Answer 1

Answer:

179.66m²

Step-by-step explanation:

Volume of vessel =

$\pi {r}^{2} h \: + \frac{2}{3}\pi {r}^{3} \\ \\ = \geqslant \pi {r}^{2} (h + \frac{2}{3} r) \\ \\ = \geqslant \frac{22}{7} \times 3.5 \times 3.5( \frac{14}{3} + \frac{2}{3} \times 3.5) \\ \\ = \geqslant 22 \times 0.5 \times 3.5( \frac{14}{3} + \frac{7}{3} ) \\ \\ = \geqslant 11 \times 3.5( \frac{21}{3} ) \\ \\ = \geqslant 38.5 \times 7 \\ \\ = \geqslant 269.5 {m}^{3} \\ \\ surface \: area \: = 2\pi \: rh + 2\pi {r}^{2} \\ \\ = \geqslant 2\pi \: r(h + r) \\ \\ = \geqslant 2\times \frac{22}{7} \times 3.5( \frac{14}{3} + 3.5) \\ \\ = \geqslant 44 \times 0.5( \frac{24.5}{3} ) \\ \\ = \geqslant 22 \times \frac{24.5}{3} \\ \\ = \geqslant \frac{539}{3} \\ \\ = \geqslant 179.66 {m}^{2}$

Answer 2

Answer:

your answer is approx 179.66

Step-by-step explanation:

hope the answer will help you