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natta225 [31]
3 years ago
5

Which expression can be used to find the volume of the cylinder in this composite figure?

Mathematics
2 answers:
Nady [450]3 years ago
8 0

Answer:

The expression that can use to find the volume of the cylinder is V = Bh = π(4)²(7) ⇒ A

Step-by-step explanation:

The formula of the volume of a cylinder is V = Bh, where

  • B is the area of the base which is a circle, then it is B = πr²
  • h is the height of the cylinder

In the given figure

∵ The composite figure formed from a cylinder and a cone

∵ They have the same base which is a circle

∵ The radius of the circle is 4 cm

∴ The radius of the base of the cylinder is 4 cm

∴ r = 4 cm

→ Find the area of the base B

∵ B = πr²

∴ B = π(4)²

∵ The height of the cylinder is 7 cm

∴ h = 7 cm

→ Substitute the values of B and h in the rule of the volume above

∴ V = π(4)²(7)

∴ V = BH = π(4)²(7)

∴ The expression that can use to find the volume of the cylinder is

   V = Bh = π(4)²(7)

lesya [120]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Hope this helps:)

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2. to calculate the first term of the final sequence:

A={3;7;11;15;19;<u>23</u>;27;31;...;407} and B{2;9;16;<u>23</u>;30;...;709}. It means, the first term of the final sequence is 23.

3. to calculate the last term of the final sequence:

if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.

n<(407-23)/28; n<13.71. If n∈Z, then n=13.

So, the last term of the final sequence is 23+28*13=387.

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{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}

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3 years ago
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Just by giving the numbers an analisys, we are able to find the answer, specially because we have options to choose from.

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