Question

1. evaluate the formula for the volume, v, of a sphere $v = \left(\frac{4}{3}\

ight)\pi r^3$ where $r = 1.3$ and $\pi \approx 3.14$. round your answer to nearest whole number.
a. 6
b. 8
c. 9
d. 10

Explanation:

Step1: Substitute the values into the formula

Substitute \(r = 1.3\) and \(\pi\approx3.14\) into \(V=\frac{4}{3}\pi r^{3}\).

$$V=\frac{4}{3}\times3.14\times(1.3)^{3}$$

Step2: Calculate \(r^{3}\)

\((1.3)^{3}=1.3\times1.3\times1.3 = 2.197\)

$$V=\frac{4}{3}\times3.14\times2.197$$

Step3: Calculate \(\frac{4}{3}\times3.14\)

\(\frac{4}{3}\times3.14=\frac{12.56}{3}\approx4.187\)

$$V\approx4.187\times2.197$$

Step4: Calculate the product

\(4.187\times2.197\approx9.2\)

Step5: Round to the nearest whole number

Since \(9.2\) is closer to \(9\) than to \(10\).

Answer:

C. 9