Question

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What is the radius of a tennis ball with volume 150 cubic centimeters?

Use 3.14 for pi and round each answer to the nearest tenth.

Step 1: substitute known values into the formula for volume.

V = (4/3)pi r³ which is the same as V = 4 ÷ 3 ● pi r³

150 = 4 ÷ 3 ● 3.14 ● r³

Step 2: Simplify both sides of the equation.
*blank 1* = *blank 2* ● *blank 3*

Options for blank 3
A r
B r²
C r³

Answer 1

To find the radius of a tennis ball with a volume of 150 cubic centimeters, we start with the formula for the volume of a sphere:

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

We know that:
- \( V = 150 \) cubic centimeters
- \( \pi \approx 3.14 \)

Substituting these values into the volume formula:

\[ 150 = \frac{4}{3} \cdot 3.14 \cdot r^3 \]

Now, we can simplify the right side of the equation:

1. Calculate \( \frac{4}{3} \cdot 3.14 \):
\[ \frac{4}{3} \cdot 3.14 \approx 4.18667 \]

2. So, we can rewrite the equation as:
\[ 150 = 4.18667 \cdot r^3 \]

Next, to fill in the blanks according to your format:
- The left side of the equation can be represented as \( 150 \).
- The right side can be expressed as \( 4.18667 \cdot r^3 \).

Thus:

*blank 1* = 150
*blank 2* = 4.18667
*blank 3* = C r³

Therefore, the answer for blank 3 is **C r³**.