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
klio [65]
3 years ago
11

please help !!! A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48cm^3 .

Mathematics
2 answers:
Kay [80]3 years ago
8 0

Answer:

<u>The radius of the cylinder and sphere is 2.48 cm and the volume of the sphere is 64 cm³</u>

Step-by-step explanation:

Let's review the information given to us to answer the question correctly:

Volume of a cylinder = π * r² * h

π * r² * h = 48

r² * h = 48/3.1416

r² * h = 15.28

r = 2.48 cm, h = 2.48 cm

Now, we can calculate the volume of the sphere this way:

Volume of the sphere = 4/3 * π * r³

Volume of the sphere = 4/3 * π * 2.48³

Volume of the sphere = 4/3 * π * 15.28

Volume of the sphere = 1.33 * 3.1416 * 15.28

<u>Volume of the sphere = 64 cm³</u>

makvit [3.9K]3 years ago
8 0

Answer:32cm

Step-by-step explanation:

You might be interested in
1.) A 20° sector in a circle has an area of 21.5π yd².
a_sh-v [17]

<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?  

we know that

the area of a circle represent a sector of 360 degrees

so by proportion

\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}    

therefore

<u>the answer part 1) is</u>

The area of the circle is 1,215.18\ yd^{2}

<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

in this problem we have

Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm

<u>Find the area of the circle</u>

A=\pi r^{2}

A=\pi*10.6^{2}

A=352.8104\ cm^{2}

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of 2\pi radians

by proportion

\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}

therefore

<u>the answer part 2) is</u>

the area of the sector is

105.84\ cm^{2}

7 0
3 years ago
Simplify y^-2/y^-7. Write your answer with a positive exponent only.
attashe74 [19]

Answer:

y^5

Step-by-step explanation:

y^-2/y^-7

When we divide exponents with the same base, we subtract the exponents

y^ ( -2 - -7)

y^ ( -2+7)

y^ 5

4 0
3 years ago
Read 2 more answers
What is the x-intercept of 5y=10-4x
Advocard [28]
The x intercept is 2.5
5 0
3 years ago
Read 2 more answers
Mark and Nick played a game three times. Mark's scores were 208 , 112, and 167. Nick's scores were 96 , 172, and 206. How many m
Sedaia [141]

Answer:

Mark got 13 more points than Nick did

Step-by-step explanation:

Mark's score in all was: 487

Nick's score in all was: 474

5 0
3 years ago
Find the area of the shaded sector.
Vladimir [108]

Given that,

Radius of the circle, r = 8.91 cm

Angle, \theta=81^{\circ}

To find,

The area of minor sector.

Solution,

The formula for the area of minor sector is given by the formula as follows :

A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{81}{360}\times \pi \times (8.91)^2\\\\A=56.11\ \text{cm}^2

So, the area of the shaded sector is 56.11\ \text{cm}^2.

8 0
3 years ago
Other questions:
  • Five times a number plus 5 has the same value as twice the number plus 10
    9·1 answer
  • What is the inverse of y=(x-6)^2 +2 ?
    12·2 answers
  • carrie is making a bed skirt for her twin beds. one side of a mattress measures 39 inches, and another side measures 75 inches.
    14·1 answer
  • Billy takes two tests in his probability and statistics class. The probability that Billy would pass at least one test is 0.9. T
    15·1 answer
  • You have to catch the bus at 11:15am for a movie! It
    15·2 answers
  • The class party started with five chocolate cakes cut in fourths as shown below in the example.
    6·1 answer
  • Brainliest to whoever is correct!
    10·1 answer
  • Find the missing side of the triangle. Then round to the near test tenth if necessary
    5·1 answer
  • Which statement describes the relationship between x and y? O As x increases, y decreases. O As x increases, y increases. O As x
    10·1 answer
  • A rhombus has sides of length x + 6 inches and a perimeter of 49 inches. Which equation represents this situation?​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!