1st : Find the volume of the rectangular block:
12 × 10 × 20 = 2400 cm^3.
2nd : Find the volume of a cylinder

Where r is radius & h is height.
so:

= 76.02654222 cm^3
Lastly, divide the volume of the rectangular block by the volume of the cylinder
2400 ÷ 76.026 = 31.5679226
You can't round it up so the answer is F) 31
Answer:

Step-by-step explanation:
<u>Equation of a Circle</u>
A circle of radius r and centered on the point (h,k) can be expressed by the equation

We are given the equation of a circle as

Note we have corrected it by adding the square to the y. Simplify by 3

Complete squares and rearrange:



We can see that, if r=4, then

Or, equivalently

There are two solutions for
:

Keeping the positive solution, as required:

3 times 7= 21 times three =63
Answer:
about 65.4 inches cubed
Step-by-step explanation:
The formula for the volume of a sphere is 4/3πr^3.
V = 4/3πr^3
= 4/3π(2.5^3)
= 20.83π = <u>about 65.4 inches cubed</u>
Answer:
Let x= number of games bowled.
Amount spent at Vista Bowl=2+3.5x
Amount spent at Pinz Bowl=5+3.25x
Setting these two equations equal to each other and solving for x will give you the number of games you can bowl to make the cost the same:
2+3.5x=5+3.25x setting equations equal
3.5x-3.25x=5-2 combining like terms
0.25x=3 simplify
(1/4)x=3 changing decimal into a fraction
x=(3)(4) multiply both sides by 4 to isolate the x
x=12 answer
Step-by-step explanation: