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ACT Math 4.1 Plane Geometry 1147 Views


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ACT Math: Plane Geometry Drill 4, Problem 1. What is the radius of the sphere?

Language:
English Language

Transcript

00:02

For a good time solve this shmoopy question...

00:04

A sphere has a volume of 288pi inches cubed.

00:09

What is the radius of the sphere?

00:11

And here are your options...

00:17

Alright, the key thing we have to know...

00:18

is the radius from the center of the Earth to the crispy crust.

00:22

That's R. That formula: four-thirds times quantity pi R cubed.

00:27

We just need to solve for R. So for starters...

00:30

multiply both sides by three-fourths and we have pi R cubed

00:33

equals three-fourths times 288 pi. Rewrite the equation

00:38

as pi R cubed equals 216 pi

00:41

and we can get rid of the pi on both sides by dividing it out and we're left

00:45

with R equals the cube root of 216.

00:49

So the answer is 6 and yeah, 216 is a way out their number

00:55

so you can just started by multiplying out three times three to get nine times

01:00

three with just 27. Too low. Then try four

01:03

and five and you have found your way to six pretty quick.

01:06

Anyway, the answer is R equals 6 or answer C.

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