gablovesgary
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

What is the volume of a sphere with a surface area of 25pi / (d ^ 2)

What Is The Volume Of A Sphere With A Surface Area Of 25pi D 2 class=

Sagot :

akposevictor

Answer:

B. [tex] \frac{125}{6}* \pi [/tex] yd³

Step-by-step explanation:

Given:

Surface area of a sphere = 25π yd²

Required:

Volume

Solution:

Let's find the radius (r) first.

S.A of sphere = 4πr²

Substitute

25π = 4πr²

Divide both sides by 4π

25π/4π = r²

25/4 = r²

Take the square root of both sides

√25/√4 = r

5/2 = r

r = 5/2 yd

Find the Volume of the sphere

V = ⁴/3*πr³

V = ⁴/3*π*(⁵/2)³

V = ⁴/3*π*125/8

V = ⅓*π*125/2

V = [tex] \frac{1*125}{3*2}* \pi [/tex]

V = [tex] \frac{125}{6}* \pi [/tex] yd³

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.