Question

Find the volume of the composite solid. Round your answer to the nearest tenth.

Answer 1

Answer:

The answer is 646 cm³.

Step-by-step explanation:

Firstly you have to seperate the solid into 2 shaoes, hemi-sphere and cube. Then calculate the volumes using the formula.

Given that the diameter of cube is 8cm so the radius is 8÷2 = 4cm :

Sphere,

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

Let r = 4 cm,

$v = \frac{2}{3} \times\pi \times {4}^{3}$

$v = \frac{2}{3} \times \pi \times 64$

$v = \frac{128}{3} \pi \: \: {cm}^{3}$

Cube,

$v = l \times w \times h$

Let length be 8cm,

Let width be 8 cm,

Let height be 8 cm,

$v = 8 \times 8 \times 8$

$v = 512 \: \: \: {cm}^{3}$

Lastly, you have to add up both volumes together :

$v = \frac{128}{3} \pi + 512$

$v = 646 \: {cm}^{3} \: (near.tenth)$