Please help..

Mathematics

1 answer:

dexar [7]2 years ago

8 0

9514 1404 393

Answer:

(d) 2/3(11)

Step-by-step explanation:

The height of the cylinder is h=2r, so the volume of the cylinder in terms of radius is ...

V = πr^2·h = πr^2·(2r) = 2πr^3

The volume of the sphere is given by the formula ...

V = (4/3)πr^3

So, the ratio of the sphere volume to the cylinder volume is ...

sphere volume / cylinder volume = ((4/3)πr^3)/(2πr^3) = (4/3)/2 = 2/3

That is, the sphere volume is ...

sphere volume = (2/3) × (cylinder volume)

V = (2/3)(11)

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If line AD is a tangent to circle B at point C, and m∠ABC = 55º, what is the measure of ∠BAD?

4vir4ik [10]

The tangent AD at point C forms a right angle to circle B, such as ∠ACB=90° and ∠ABC=55°.

We also know that the summation of all angles in a triangle is 180°. Thus we have the expression below:
180°=∠ABC + ∠ACB + ∠BAD
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Therefore, the answer is 35°.

7 0

2 years ago

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Sunny_sXe [5.5K]

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