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vfiekz [6]
3 years ago
14

HELP FOR BRAIN Or be nice

Mathematics
1 answer:
kherson [118]3 years ago
8 0

Answer:

B.

Step-by-step explanation:

you multiply using distributive property and then you use the sign products and keep the sign of 56

plz mark brainliest

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Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
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Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

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Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

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So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

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Substitute d = 2r, we get

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Divide by 2 on both sides, we get

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Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

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Height of cylinder h = 2r (by option C)

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$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

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