Question

question
what is the volume of a sphere with a radius of 6.3 cm, rounded to the nearest tenth of a cubic centimeter?
answer attempt 1 out of 2
cm³
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Explanation:

Step1: Recall the volume formula for a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \), where \( r \) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given that the radius \( r = 6.3\space\text{cm} \). Substitute \( r = 6.3 \) into the formula:

$$
LATEXBLOCK0
$$

Step3: Calculate the numerical value

Using \( \pi\approx3.14159 \), we have:

$$
LATEXBLOCK1
$$

(The calculation is done as follows: \( 333.396\times3.14159 = 333.396\times3+333.396\times0.14159= 1000.188+47.012 = 1047.2 \) (rounded to the nearest tenth))

Answer:

\( 1047.2 \)