Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
Step-by-step explanation:
To find the volume \( V \) of a sphere when given the diameter \( d \), we use the formula:
\[ V = \frac{4}{3} \pi \left(\frac{d}{2}\right)^3 \]
Given that the diameter \( d \) of the sphere is 16 inches, we first calculate the radius \( r \):
\[ r = \frac{d}{2} = \frac{16}{2} = 8 \text{ inches} \]
Now substitute \( r = 8 \) inches and \( \pi = 3.14 \) into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (8)^3 \]
Calculate \( (8)^3 \):
\[ (8)^3 = 8 \times 8 \times 8 = 512 \]
Now substitute \( 512 \) into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 512 \]
Calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 = 4.1867 \]
Now multiply by \( 512 \):
\[ V = 4.1867 \times 512 \]
\[ V = 2144.7424 \]
Round the volume to the nearest hundredth:
\[ V \approx \boxed{2144.74} \text{ cubic inches} \]
Therefore, the volume of the sphere, rounded to the nearest hundredth, is \( \boxed{2144.74} \) cubic inches.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.