1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
d1i1m1o1n [39]
3 years ago
14

A cylinder has a volume of 96 pi cubic centimeters and a diameter of 12 centimeters. What is the height of the cylinder in centi

meters?
Mathematics
2 answers:
iragen [17]3 years ago
7 0

Answer: the height of the cylinder is 2.67 centimeters

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

volume = 96 pi cubic centimeters

Diameter = 12 centimeters

Radius = diameter/2 = 12/2 = 6 centimeters

Therefore,

96π = π × 6² × h

96π = 36π × h

Dividing the left hand side and the right hand side of the equation by 36π, it becomes

96π/36π = 36π/36π × h

h = 2.67 centimeters

jonny [76]3 years ago
4 0

Answer:

2 2/3 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the volume =96 pi   and the diameter is 12

We want the radius

r =d/2 = 12/2 =6

96 pi = pi * (6)^2 h

96 pi = 36 pi h

Divide each side by 36 pi

96 pi/36 pi = 36pi h / 36 pi

8/3 = h

Changing from an improper fraction to a mixed number

2  2/3 = h

You might be interested in
What are the values of x in the equation 4x2 + 4x - 3 = 0?
9966 [12]

Answer:

x=  0.5

or x=  -1.5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x2+4x−3=0

Step 1: Factor left side of equation.

(2x−1)(2x+3)=0

Step 2: Set factors equal to 0.

2x−1=0 or 2x+3=0

x= 1/2 or x= −3/2

5 0
3 years ago
The person who answers the question with the mathematical explanation and answer gets 65 points in total if answers correctly an
liubo4ka [24]

Answer:

10.5 squared centimetres.

Step-by-step explanation:

First, find the area of that sector. We are already given that the circle is 154 squared centimetres.

We are given 90 degrees (or one fourth of the circle). Thus, divide 154 by 4 to get the area of the sector (the white area).

The area of the sector is 154/4 or 38.5

We then need to find the area of the square. After that, we can subtract the sector area (the white area) from the area of the square (the total area) to find the area of the shaded section.

The area of the square is 7*7 or 49.

Thus, the shaded portion will be 49-38.5 or 10.5 squared centimetres.

8 0
3 years ago
Read 2 more answers
An employee makes a career change, her original salary was 65,000 and now it’s58,000 at her new job . What percent decrease was
julsineya [31]

Answer:

about 21 percent

Step-by-step explanation:

3 0
3 years ago
(40 points) I need some help please. An answer definition is appreciated as well.
ExtremeBDS [4]

Answer:

-9

Step-by-step explanation:

We are summing the 3rd 4th and 5th terms because k goes from 3 to 5

The third term is

-2(3) +5 = -6+5 = -1

The fourth term is

-2(4) + 5 = -8+5 = -3

The fifth term is

-2(5) +5 = -10 +5 = -5

Add these 3 terms together

-1+-3+-5 = -9

7 0
3 years ago
Read 2 more answers
Y + 3x = -1<br> y = 1/2x+ 20
skelet666 [1.2K]
Im not sure if it’s right but I think it’s -6,17
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the unit rate for 240 miles in 8 hours?
    8·2 answers
  • 15 yards to 19 yards
    14·1 answer
  • Find missing angles
    12·1 answer
  • Write an expression that is equivalent to 6(5x+7y)
    12·2 answers
  • A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
    12·2 answers
  • We want to factor the following expression: (x+7)^2+2y(x+7)+y^2 which patter can we use to factor the espression? U and V are ei
    12·1 answer
  • 5x - (x - 16) = 2x - (_) + x)
    10·1 answer
  • The temperature is -1°F. If the temperature rises 10° F, what will the new temperature be?
    10·1 answer
  • Leslie won 34 pieces of candy playing ring toss at the county fair. At school she gave one to every student in her math class. S
    13·1 answer
  • The figure below shows circle O.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!