Question

the radius of a sphere is 3 m. what is its volume?
select one:
a. 113.1
b. 9.4
c. 28.3
d. 84.8

given the equation, $y=2x+6$, what is its slope?
select one:
a. 6
b. 2
c. 3
d. 1

Explanation:

Step1: Recall sphere volume formula

The volume of a sphere is $V=\frac{4}{3}\pi r^3$

Step2: Substitute $r=3$ into formula

$$V=\frac{4}{3}\pi (3)^3=\frac{4}{3}\pi \times 27=36\pi$$

Step3: Calculate numerical value

$36\pi \approx 36\times3.1416=113.1$

Step4: Identify slope from line equation

The line is in $y=mx+b$ form, where $m$ is slope. For $y=2x+6$, $m=2$.

Answer:

1. a. 113.1
2. b. 2