A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere? Round your answ er to the nearest whole number.
1 answer:
Answer: 113.04 cm^3
Step-by-step explanation:
The surface area of a cube is:
S = 6*L^2
then:
216 = 6*L^2
216/6 = L^2
L = √(36) = 6
So the length of the side of this square is L = 6cm
Then the diameter of the sphere is also 6 cm, and the radius is half the diameter, so the radius is 3cm.
Now the volume of a sphere is:
V = (4/3)*pi*r^3 = (4/3)*3.14*3^3 = 113.04 cm^3
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The equation to find volume is V=
r²h and you know all of your numbers other than h so you plug all that in. 100=3.14×2²×h → 100=3.14×4×h → 100=12.56×h → Divide 12.56 from both sides 100÷12.56=12.56×h÷12.56 → 7.96cm=h.
I hope that helps!
Answer:
where's the equations and expressions..?
Answer:
A: SAS
B: SSS
C: AAS
D: ASA
What?
Answer:
y = (4/7)x + 78/7
Step-by-step explanation:
We can have books equal to y and cost equal to x.
Solving for the slope, we get 4/7.
Plug this along with one of the data sets to solve for b.
b = 78/7
r²h and you know all of your numbers other than h so you plug all that in. 100=3.14×2²×h → 100=3.14×4×h → 100=12.56×h → Divide 12.56 from both sides 100÷12.56=12.56×h÷12.56 → 7.96cm=h.