Question

in the formula \\( \pi r ^ { 2 } h \\), h stands for what?

a. height

b. diameter

c. circumference

d. radius

a beach ball is inflated to have a radius of 10 cm. what is its volume? use \\( \pi \approx 3.14 \\).

a. \\( 2,000 \mathrm { cm } ^ { 3 } \\)

b. \\( 4,186.67 \mathrm { cm } ^ { 3 } \\)

c. \\( 1,880 \mathrm { cm } ^ { 3 } \\)

d. \\( 1,000 \mathrm { cm } ^ { 3 } \\)

Explanation:

Step1: Recall the volume formula of a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\).

Step2: Substitute the given values

Given \(r = 10\) cm and \(\pi\approx3.14\), substitute into the formula: \(V=\frac{4}{3}\times3.14\times10^{3}\).
First calculate \(10^{3}=1000\), then \(\frac{4}{3}\times3.14\times1000=\frac{4\times3.14\times1000}{3}\).
\(4\times3.14\times1000 = 12560\), and \(\frac{12560}{3}\approx4186.67\).

Answer:

B. \(4,186.67\mathrm{cm}^{3}\)