Question

volume and surface area of three - dimensional shapes. a sphere has a radius of 7.5 centimeters (cm). question: to the nearest cubic centimeter, what is the volume of the sphere? v = 4/3 πr² v = 4/3 (3.14)7.5² 235.5 236 206 1,325 1,766 14,130 solve inequalities and graph the answer on a number line. question: isabella saved $15,250 and bought a car that cost $12,750. the insurance for the car will cost $600 per year. how many full years will isabella be able to pay for car insurance with her remaining savings? 2 4 21 26

Explanation:

Step1: Recall volume formula for sphere

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

Step2: Substitute the given radius

Given $r = 7.5$ cm, we substitute it into the formula: $V=\frac{4}{3}\times\pi\times(7.5)^{3}$.

Step3: Calculate the volume

First, $(7.5)^{3}=7.5\times7.5\times7.5 = 421.875$. Then, $\frac{4}{3}\times\pi\times421.875$. Taking $\pi\approx3.14$, we have $\frac{4}{3}\times3.14\times421.875=\frac{4\times3.14\times421.875}{3}=1766.25\approx1766$ $cm^{3}$.

Answer:

1766