Answer:
They are 15 prime numbers between 1 and 50
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
- Volume of Cylinder = πr²h
- Volume of Sphere = 4/3πr³
Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
Learn more about volume of a cylinder and a sphere on:
brainly.com/question/64165
First take the inside diameter and divide by 2 to get the radius (4cm)
Then use
r^2 with 'r' being your radius to get the area of the base
The area is 12.7 cm
Now multiply the height by the area of the base to get the volume/ capacity!
40cm x 12.7cm (rounded to the nearest tenth) = 502.7 cubic centimeters
Answer: 4x² + 3x + 52
Step-by-step explanation:
1. rearrange & simplify terms:
(4x² - 4 + 6) + (3x - 7² + 1) . . .
(4x² + 2) + (3x + 49 + 1) . . .
(4x²+2) + (3x + 50).
2. combine like terms in standard form:
<u>4x² + 3x + 52</u>
