Question

A solid is in the shape of a cylinder surmounted on a hemisphere. If the diameter and the total height of the solid are 21 cm, 25.5 cm respectively, then find its volume.​

Answer 1

$Ⲇⲛ⳽ⲱⲉⲅ$

Volume of solid = Volume of Cylinder + volume of sphere

=>

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

22/7 × 21/2 ×21/2×15 + 2/3×21/7×21/2×21/2×21/2

$\frac{11×3×21×15}{2} \times \frac{11 \times 21 \times 21}{2}$

5797.5 + 2425.5

7623 cm³

Thus, answer is 7263cm³

Answer 2

Step-by-step explanation:

Volume of solid = Volume of Cylinder + volume of sphere

=>

\pi \: {r}^{2} h + \frac{2}{3} \pi {r}^{3}πr

2

h+

3

2

πr

3

22/7 × 21/2 ×21/2×15 + 2/3×21/7×21/2×21/2×21/2

\frac{11×3×21×15}{2} \times \frac{11 \times 21 \times 21}{2}

2

11×3×21×15

×

2

11×21×21

5797.5 + 2425.5

7623 cm³

Thus, answer is 7263cm³