Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A regulation basketball has a diameter of about 9 inches. What is the best approximation of the volume of the ball?
3050 in3

84.8 in3

382 in3

215 in3

Sagot :

dominiczacchini
382 in3

Just look up volume of a sphere and a thing comes up all you have to put in is the radius (aka half of 9 which is 4.5) You're welcome.

Answer:  The correct option is (C) 382 in³.

Step-by-step explanation:  Given that a regulation basketball has a diameter of about 9 inches.

We are to select the best approximation of the volume of the ball.

We know that basketball is of the shape of a SPHERE.

The VOLUME of a sphere with radius 'r' units is given by the formula:

[tex]V=\dfrac{4}{3}\pi r^3.[/tex]

The diameter of the basketball is about 9 inches, so its approximate radius will be

[tex]r=\dfrac{9}{2}=4.5~\textup{inches}.[/tex]

Therefore, the approximate volume of the basketball is

[tex]V\\\\\\=\dfrac{4}{3}\pi r^3\\\\\\=\dfrac{4}{3}\times 3.14\times (4.5)^3\\\\\\=\dfrac{4\times3.14\times 91.125}{3}\\\\\\=381.51~\textup{in}^3~\textup{[approx.]}\sim 382~\textup{in}^3.[/tex]

Thus, the best approximation of the volume of the ball is 382 in³.

Thus, (C) is the correct option.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.