YoursTruly17
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PLEASEEE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!



A spherical beach ball has a surface area of 768 in². Pablo wants to estimate the volume of the beach ball. To do the estimate, he approximates π using 3 in both the surface area and volume formulas for a sphere.

Using this method, what value does he get for the approximate volume of the beach ball?

Respuesta :

apologiabiology
sa=4pir^2
v=(4/3)pir^3
why you use 3 for pi, oh well

sa=12r^3
v=4r^3


given
sa=768
768=12r^2
divide both sides by 12
64=r^2
sqrt both sides
8=r

V=4r^3
v=4(8)^3
v=4(512)
v=2048


2048 cubic inches

The approximate volume of the spherical beach ball with surface area of 768 inches² is 2048 inches³

Surface area of a sphere

surface area = 4πr²

where

  • r = radius

Therefore,

r = ?

π = 3

768 = 4 × 3 × r²

r² = 768 / 12

r = √64

r = 8 inches

Volume of a sphere

volume of a sphere = 4 /  3 πr³

where

  • r = radius

Therefore,

volume =  4 /  3 × 3 × 8³

volume = 4 × 512

volume = 2048 inches³

learn more on volume here: https://brainly.com/question/23157429

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