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nikdorinn [45]
3 years ago
15

The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm. Approximately how much

space is in between the two spheres?
Mathematics
1 answer:
frozen [14]3 years ago
8 0
Volume a sphere: [4/3]π(r^3)

Space between the spheres = Volume of the larger sphere - Volume of the smaller sphere

= [4/3]π (R^3) - [4/3π](r^3) = [4/3]π(R^3 - r^3) = [4/3]π {(5cm)^3 - (4cm)^3} =

= 255.5 cm^3

Answer: 255.5 cm^3
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school teacher and needs 22 pieces of wood, 3 over 8 ft long, for a class project. If he has a 9-ft board from which to cut the
tiny-mole [99]

Answer:

Yes, he will have enough 3 over 8 ft pieces for his class.

Step-by-step explanation:

Given:

Number of wood required = 22

Length of each wood, l=\frac{3}{8}\textrm{ ft}

Total length of the board, L=9\textrm{ ft}

Therefore, the number of woods that can be made using the given board is given as:

\textrm{Number of woods made}=\frac{\textrm{Total length of board}}{\textrm{Length of each wood}}\\\textrm{Number of woods made}=\frac{L}{l}=\frac{9}{\frac{3}{8}}=9\times \frac{8}{3}=\frac{72}{3}=24

So, he can make 24 woods of length \frac{3}{8}\textrm{ ft} using the 9 ft board. But he has to make only 22 pieces.

Therefore, he has enough of the wood to make the required number of pieces.

3 0
3 years ago
Help?
vodomira [7]
M = ounces of M&M
r = ounces of raisins

calories = 139m + 85r

calories < 600

139m+85r<600


3 0
3 years ago
I need a lot of help, can someone pls help me?
Anastaziya [24]

Answer: yes, just tell me the problem

Step-by-step explanation:

3 0
3 years ago
Scott likes to run long distances. He can run 20 km in 85 minutes. He wants to know how many minutes (m) it will take him to run
melisa1 [442]

Answer:

221 minutes

Step-by-step explanation:

52 divided by 20 would be 2.6 then you take the 85 and mulitpy it by 2.6 because 52 is 2.6 times more than 20. so 85 times 2.6 would be 221 minutes.

8 0
3 years ago
Simplify (6^7)^3. <br> A. 6^21<br> B. 42^3<br> C. 6^10<br> D. (1/6)^21
dangina [55]

Answer:

A. 6^21

Step-by-step explanation:

When you see a parenthesis in which the number inside has a power, and there is a power outside the parenthesis, you multiply the powers.

(6^7)^3 = 6^(7 * 3) = 6^21

A. 6^21 is your answer.

~

7 0
3 years ago
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