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Andreas93 [3]
2 years ago
14

Find the volume of the cylinder.

Mathematics
2 answers:
Feliz [49]2 years ago
8 0

Answer:

144pi

Step-by-step explanation:

The formula for the volume of a cylinder is base*height

The base of a cylinder is a circle, so it's pi*r^2

r = 6, so pi*r^2 is 36pi

height is 4 so 36pi*4 is 144pi

nevsk [136]2 years ago
6 0

Answer:

144 pi

Step-by-step explanation:

The formula for the volume of a cylinder is base*height

The base of a cylinder is a circle, so it's pi*

r^2r = 6, so pi*r^2 is 36pi

height is 4 so 36pi*4 is 144pi

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20 Answer: a₁ = 4

<u>Step-by-step explanation:</u>

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21 Answer: n = 13

<u>Step-by-step explanation:</u>

a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n

22 Answer: n = 5

<u>Step-by-step explanation:</u>

a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n

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Step-by-step explanation:

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Step-by-step explanation:

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