Question

Volume of sphere Marcus is using small stone spheres

Answer 1

523.33 is the right one for this

Answer 2

Volume of Sphere

1. What is the radius of the stone sphere?

- To know what is the radius divide is by 2.

• $\large \tt 6 \div 2 = 3$

Therefore, the radius of the stone sphere is 3in

2. What is the volume of the stone sphere?

- Using the formula in finding the Volume of Sphere $\tt V = \frac{4}{3}\pi r^3$ to get the answer. Where the volume of the sphere is $\tt\frac{4}{3}\:\:\:\:\pi$ multiplied by the cube of the radius.

• $\tt V = \frac{4}{3}\pi r^3$
• $\tt V = \frac{4}{3}\times 3.14\times 3in^3$
• $\tt V = \frac{4}{3}\times 3.14\times 27in$
• $\tt V = \frac{4}{3}\times 84.78in$
• $\tt V = \frac{339.12in}{3}$
• $\tt V = 113.04in^3$

Therefore, the volume of the stone sphere is 113.04in³

3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for π, and round to the nearest hundredth.

- Using the formula in finding the Volume of Sphere $\tt V = \frac{4}{3}\pi r^3$ to get the answer. Where the volume of the sphere is $\tt\frac{4}{3}\:\:\:\:\pi$ multiplied by the cube of the radius.

• $\tt V = \frac{4}{3}\pi r^3$
• $\tt V = \frac{4}{3}\times 3.14\times 5in^3$
• $\tt V = \frac{4}{3}\times 3.14\times 125in$
• $\tt V = \frac{4}{3}\times 392.5in$
• $\tt V = \frac{1570in}{3}$
• $\tt V = 523.33in^3$

Explanation

Therefore, the volume of the stone sphere is 523.33in³

#CarryOnLearning