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
mash [69]
3 years ago
12

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

Mathematics
1 answer:
pentagon [3]3 years ago
7 0

Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

You might be interested in
The Lee family buys a new car that has a sales price of $35,000. If the car dealer requires a minimum down payment of 15%, what
Ivanshal [37]
<h2><u><em>PLEASE MARK ME BRAINLIEST!!!!!</em></u></h2>

Answer:

$5,250

Step-by-step explanation:

The less must pay a minimum down payment that is equivalent to 15% the sales price of the new car.

Given that the price of the new car is $35,000, the product of 15% with this amount will equal the down payment.

As such, the down payment

= 15% * $35,000

= 0.15 * $35,000

= $5,250

8 0
3 years ago
If x is the first of two consecutive integers, express the sum of the two integers in terms of x
makkiz [27]

Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

7 0
3 years ago
Read 2 more answers
Anyone know how to do area or volume? Any help will do! thanks
exis [7]

Answer:

Volume: x(x+6)(x+2) Area: x^{2} + 8x +12

Step-by-step explanation:

Volume Explanation:

To find the volume of a 3d figure, we must multiply the length, width, and the height. Therefore we multiply (x)(x+6)(x+2)= x^{3} + 8x^{2} + 12x. Simplify this equation and we will get x(x+6)(x+2) for the formula to find the volume of the 3D figure.

Area:

To find the area of a 2D figure, we must multiply length x height. Therefore, we multiply the equations (x+6)(x+2)= x^{2} + 2x + 6x +12 to get a final answer of x^{2} +8x +12.  This will be the formula when you find the area of the 2D figure in question.

7 0
1 year ago
Math slope intercept form​
Rus_ich [418]

Answer id provided in the image attached.

5 0
3 years ago
Read 2 more answers
Help me please this is due today
matrenka [14]

Answer:

LCM = 20, GCF = 9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Pam has 45 sets of clips She puts them way in groups of many different can Pom put away her clips?
    11·1 answer
  • 5.35 rounded to the nearest hundredth
    12·2 answers
  • What is the value of the digit 4 in 46,000?
    6·2 answers
  • According to a recent study, 1 in every 9 women has been a victim of domestic abuse at some point 19) in her life. Suppose we ha
    7·1 answer
  • Suppose that a loan of $8000 is given at an interest rate of 16% compounded each year.
    7·1 answer
  • Down bad rn plz help
    11·1 answer
  • The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a
    13·1 answer
  • The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the
    6·1 answer
  • For what value of x and y the ordered pairs (x+3,y-2) (y-1,2x-3)​
    15·2 answers
  • Write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!