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
KiRa [710]
4 years ago
5

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

Mathematics
1 answer:
PtichkaEL [24]4 years ago
8 0

The volume of a cylinder with a radius r and a height h:

V_1=\pi r^2h

The volume of a cone with a radius r and a height h:

V_2=\dfrac{1}{3}\pi r^2h

Therefore

V_2=\dfrac{1}{3}V_1

We have V_1=32.25\ in^3

Substitute:

V_2=\dfrac{1}{3}\cdot32.25=10.75\ in^3

Answer: The volume of a cone is equal 10.75 in³

You might be interested in
Which of the following pairs of angles are congruent? ( Answer as soon as possible)
Aleks04 [339]

Answer:

C. <w and <y

Step-by-step explanation:

<t and <x are corresponding angles, therefore they are congruent to each other by the corresponding angles theorem.

<w and <y are also corresponding angles and are therefore also congruent.

<x and <z are congruent also based on the vertical angles theorem.

<t and <z are alternate exterior angle, and are therefore congruent also.

So, from the pairs of angles given as options, the only given pair of angles that are congruent would be:

<w and <y

6 0
3 years ago
Deon has a pizza with a diameter
OverLord2011 [107]

The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.

<h3>What is the area of the circle and the square?</h3>

The area of the circle is

Ac = πr² = πd²/4 sq. units

Where r is the radius and d is the diameter of the circle.

The area of the square is given by

As = s² sq. units

Where s is the length of the side of a square.

<h3>Calculation:</h3>

It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.

So,

The area of pizza is

Ap = Ac = πd²/4 sq. units

     = π(10)²/4

     = 25π

     = 78.54 sq. in

Then, the area of the square box with the length same as the diameter of the pizza is,

As = d²

    = 10²

    = 100 sq. in

Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.

Learn more about the area of a circle here:

brainly.com/question/15673093

#SPJ1

7 0
2 years ago
At a restaurant the bill for a family's dinner is $52.29. The family adds a tip of 15% of that cost.what is the amount of the ti
Setler [38]

Answer: The answer is $7.84 but that’s not a choice so I would go with $7.83

Step-by-step explanation:

5 0
3 years ago
What is 1/3 multiply by 5​
Irina-Kira [14]

Answer:

\frac{5}{3}

hope that helps uhh :)

3 0
3 years ago
Read 2 more answers
What is the difference between a smart card and a cash card?
blagie [28]
A. because it's a lower chance of you being robbed and getting your money taken away
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the distance between these two points (-1,0), (8,6)
    15·1 answer
  • Geometry help , only answer if your sure please. The question is in the attached
    15·1 answer
  • The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?
    14·2 answers
  • String A is 18 inches long.
    14·2 answers
  • What ratio is not equivalent to 5:8
    8·1 answer
  • The population of a city is 50,000. It is increasing at an annual rate of 3%. What is the
    11·2 answers
  • Can some one help me on this one ​
    12·1 answer
  • 78 % of the class scored a C or above on their test. If there are 35 students in the class, how many scored a C or higher? Write
    15·2 answers
  • Anyone want to f riend me or cha t here
    6·2 answers
  • A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 cm³.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!