Question

unit 11 test - 3d solids

what is the volume of the sphere if the radius = 17 cm?

• 20579.5 cm^{3}
• 213.6 cm^{3}
• 1210.6 cm^{3}
• 61738.6 cm^{3}

Explanation:

⚡ Using what you learned: volume of prisms, pyramids, cylinders, cones, spheres

Step 1: Identify the formula

$$ V = \frac{4}{3}\pi r^3 $$

Step 2: Substitute the radius

Given \( r = 17\text{ cm} \):

$$ V = \frac{4}{3}\pi (17)^3 $$

$$ V = \frac{4}{3}\pi (4913) $$

$$ V = \frac{19652}{3}\pi $$

$$ V \approx 6550.67\pi $$

$$ V \approx 20579.52\text{ cm}^3 $$

Answer:

\( 20579.5\text{ cm}^3 \)