Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the volume of the sphere in terms of π? enter the answer in the…

Question

what is the volume of the sphere in terms of π? enter the answer in the box. π cm³

Explanation:

Step1: Recall the formula for the volume of a sphere

The volume \( V \) of a sphere with radius \( r \) is given by the formula \( V=\frac{4}{3}\pi r^{3} \). But since the problem is in terms of \( \pi \) and we assume the radius (maybe the original problem had radius 3, let's check: if radius \( r = 3\) cm (since the first part is cut off but common problem), then:

Step2: Substitute the radius into the formula

If \( r = 3\) cm, then \( V=\frac{4}{3}\pi(3)^{3}\). First, calculate \( 3^{3}=27 \). Then \( \frac{4}{3}\times27 = 36 \). So the volume is \( 36\pi\) \( cm^{3} \). (Assuming the radius is 3 cm as a common problem setup when the first part is about a sphere with radius 3 cm)

Answer:

36