6. A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters? A. $$ 46,38 \mathrm{~cm}^{3} $$ B. $$ 33.93 \mathrm{~cm}^{3} $$ C. $$ 122.15 \mathrm{~cm}^{3} $$ D. $$ 82.45 \mathrm{~cm}^{3} $$

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UpStudy AI · Accepted Answer

1. The formula for the volume of a sphere is given by  
   $$
   V = \frac{4}{3} \pi r^3.
   $$

2. With a radius of $$ r = 2.7 $$ centimeters, substitute into the formula:  
   $$
   V = \frac{4}{3} \pi (2.7)^3.
   $$

3. Calculate $$ (2.7)^3 $$:  
   $$
   (2.7)^3 = 2.7 \times 2.7 \times 2.7 \approx 19.683.
   $$

4. Substitute the value back into the equation:  
   $$
   V \approx \frac{4}{3} \pi \times 19.683.
   $$

5. Compute the multiplication:  
   $$
   \frac{4}{3} \times 19.683 \approx 26.244.
   $$
   So,  
   $$
   V \approx 26.244 \pi.
   $$

6. Approximating $$\pi$$ as $$3.1416$$:  
   $$
   V \approx 26.244 \times 3.1416 \approx 82.45 \text{ cm}^3.
   $$

Thus, the measurement closest to the volume of the ball is  
$$
82.45 \text{ cm}^3.
$$
The volume of the ball is approximately $$82.45 \, \text{cm}^3$$, so the closest option is D.

A ball shaped like a sphere has a radius of 2.7
centimeters. Which measurement is closest to the
volume of the ball in cubic centimeters?
A.
B.
C.
D.

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A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters? A. B. C. D.