Question

the radius, r, of a sphere is 7.4 cm. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations) v = □ cm³

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume of a sphere is \( V=\frac{4}{3}\pi R^{3}\), where \( R\) is the radius of the sphere.

Step2: Substitute the given values into the formula

Given \( R = 7.4\) cm and \( \pi=3.14\). First, calculate \( R^{3}\): \( R^{3}=(7.4)^{3}=7.4\times7.4\times7.4 = 405.224\). Then, substitute into the formula: \( V=\frac{4}{3}\times3.14\times405.224\).

Step3: Perform the multiplication

\(\frac{4}{3}\times3.14 = 4.1866\cdots\). Then \(4.1866\cdots\times405.224\approx1696.5\)

Answer:

\(1696.5\)