Question

15 of 2015 of 20 Items
32:40





























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Volume of Spheres
The largest ball of yarn ever created has a radius of 6 feet. It took 30 years to create.
Question 1
Which formula could you use to determine the volume of the ball of yarn?
Responses
A V = BhV = Bh
B V = 4π
V = 4π r 2
C V =







V = 4 3 r 2
D V =







π
V = 4 3 π r 3
Question 2
Using 3.14 for π, which choice is the volume of the ball of yarn? (nearest hundredth)
Responses
A 87.85 cubic feet87.85 cubic feet
B 150.72 cubic feet150.72 cubic feet
C 834.68 square feet834.68 square feet
D 904.32 cubic feet

Answer 1

To address the questions regarding the volume of the ball of yarn, let's analyze both questions:

### Question 1:
To find the volume \( V \) of a sphere, the correct formula is:

\[ V = \frac{4}{3} \pi r^3 \]

Thus, the correct choice is:

**D: \( V = \frac{4}{3} \pi r^3 \)**.

---

### Question 2:
Given that the radius \( r \) of the ball of yarn is 6 feet, we can calculate the volume using the formula from Question 1:

1. Substitute \( r = 6 \) into the formula:

\[
V = \frac{4}{3} \pi (6)^3
\]
\[
= \frac{4}{3} \pi (216)
\]
\[
= \frac{864}{3} \pi
\]
\[
= 288 \pi
\]

2. Now, using \( \pi \approx 3.14 \):

\[
V \approx 288 \times 3.14
\]
\[
= 904.32
\]

Thus, the volume of the ball of yarn is approximately **904.32 cubic feet**.

Therefore, the answer to Question 2 is:

**D: 904.32 cubic feet**.