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
Answer:
a). The equation; 7.25 h-36.25=0
b). total number of hours Steven work=5 hours
Step-by-step explanation:
Part A
The expression for the total money earned is as follows;
T=E×h
where;
T=total earnings
E=earnings per hour
h=number of hours worked
In our case;
T=$36.25
E=$7.25
h=h
replacing;
36.25=(7.25×h)
36.25=7.25 h
The equation would be; 7.25 h=36.25, or 7.25 h-36.25=0
Part B
7.25 h=36.25
h=36.25/7.25
h=5
total number of hours Steven work=5 hours
Answer:
The answer is
<h2>( 4 , - 1)</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2,-4) and (6,2)
The midpoint is
We have the final answer as
<h3>( 4 , - 1)</h3>
Hope this helps you
