3 years ago

Need help with this!!

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Answer:

The answer is B..... The corresponding is the identical number between all

The is 7 in each...

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Read 2 more answers

Andy has a snowball (a perfect sphere) with the radius of 3 cm. He wanted the snowball to be bigger, so he spent four seconds pa

BigorU [14]

Answer:

Ratio = $\frac{64}{27}$

Step-by-step explanation:

Volume of Sphere is given by the formula:

$V=\frac{4}{3} \pi r^3$

Where

V is the volume

and

r is the radius

Original Volume, given r = 3, would be:

$V=\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (3)^3\\V=\frac{4}{3}\pi (27)\\V=36\pi$

Increased snowball volume:

Radius increased 0.25 per second, he spent 4 seconds, so radius increase:

0.25 * 4 = 1 cm

New radius = 3 + 1 = 4 cm

New Volume would be:

$V=\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (4)^3\\V=\frac{4}{3}\pi(64)\\V=\frac{256\pi}{3}$

Ratio of New Volume to Original would be:

$Ratio=\frac{\frac{256\pi}{3}}{36\pi}=\frac{256\pi}{3}*\frac{1}{36\pi}=\frac{64}{27}$

This is the ratio for current volume to original volume.

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3 years ago