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weqwewe [10]
4 years ago
8

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

Mathematics
1 answer:
beks73 [17]4 years ago
3 0

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)

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