Question

what is the approximate volume of a sphere with a radius of 7 inches? a. 1440 cubic inches b. 1436.8 cubic inches c. 1437.2 cubic inches d. 1441.2 cubic inches

Explanation:

Step1: Write the formula for the volume of a sphere

$$V=\frac{4}{3}\pi r^{3}$$

Step2: Substitute the value of radius \(r = 7\)

$$V=\frac{4}{3}\times\pi\times7^{3}$$

Step3: Calculate \(7^{3}\)

\(7^{3}=7\times7\times7 = 343\)

Step4: Calculate \(\frac{4}{3}\times343\)

\(\frac{4}{3}\times343=\frac{1372}{3}\approx457.33\)

Step5: Multiply by \(\pi\) (take \(\pi\approx3.14\))

\(V\approx457.33\times3.14 = 1436.8\) (approx)

Answer:

B. 1436.8 cubic inches