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Viktor [21]
3 years ago
11

ANSWER FOR BRAINILEST.

Mathematics
2 answers:
Lesechka [4]3 years ago
6 0

Answer:

2713

Step-by-step explanation:

The volume of a cylinder is base * height. That means the whole cylinder's volume is 8^2 * 18 * pi = 1152 pi

The volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(6^3) = 288 pi

Cylinder - Sphere = Shaded Volume

1152pi - 288pi = 864pi

Substitute 3.14 for pi, and you get

864(3.14) = 2712.96, which rounds to 2713

Ostrovityanka [42]3 years ago
5 0

Answer:

2712.96cm³

Step-by-step explanation:

The Cylinder without whole Volume:

V = r²pi*h = (16/2)² * 3.14 * 18 = 3617.28cm³

The hole:

V=4/3 pi r³=4/3 * 3.14 * (12/2)³ = 904.32cm³

The block minus the whole

200.96cm³-904.32cm³=2712.96cm³

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Answer:

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Step-by-step explanation:

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notice that we can rewrite √x using Law of exponent therefore we obtain:

\displaystyle  5\int_{0} ^{1} x \cdot  {x}^{1/2} dx

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\displaystyle  5\int_{0} ^{1}  {x}^{ \frac{3}{2} } dx

use exponent integration rule which yields;

\displaystyle  5 \left( \frac{{x}^{ \frac{3}{2}  + 1  } }{ \frac{3}{2}  + 1} \right)  \bigg|  _{0} ^{1}

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Step-by-step explanation:

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