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3 years ago

A sphere has a diameter of 10 in. What is the volume of the sphere?

Mathematics

2 answers:

stich3 [128]3 years ago

8 0

Answer:

500/3 pi

Step-by-step explanation:

i took le quiz :)

givi [52]3 years ago

5 0

The volume of sphere is $\frac{500}{3}\pi$ inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = $\frac{Diameter}{2}=\frac{10}{2}$

Radius of sphere = 5 inches

Volume of sphere = $\frac{4}{3}\pi r^3$

V = $\frac{4}{3}\pi (5)^3$

$V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi$

The volume of sphere is $\frac{500}{3}\pi$ inches cubed.

Keywords: volume, division

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3 years ago

The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cyc

BaLLatris [955]

Answer:

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Step-by-step explanation:

The function that could model this periodic phenomenon will be of the form

$y(t) = y_0+Acos(wt)$

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$A =\dfrac{(9-3)ft}{2} \\\\\boxed{A = 3ft}$

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Furthermore, since at $t=0$ the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is $-cos(\omega t)$ .

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$\boxed{\omega = \dfrac{2\pi}{14}.}$

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$\boxed{y(t)= 6-3cos(\dfrac{2\pi}{14}t ).}$

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3 years ago