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A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a larger tank whose capacity is 2.5 times the volume of the standards model. What is the approximate diameter of this larger tank?

User Bethsy
by
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2 Answers

0 votes

Answer:

diameter =8.1

Explanation:

The answer is from khan

User Dan Fuller
by
7.2k points
1 vote

Answer:


V = 113.04m^3 --- Standard Model


Diameter = 15m --- Larger Tank

Explanation:

Given

Standard Model


Diameter = 6m

Larger Tank

Diameter = 2.5 * Standard Model

Solving (a): Volume of Standard Model.

The tank is spherical; so, the volume (V) is as follows


V = (4)/(3)\pi r^3

Where


r = (1)/(2)Diameter


r = (1)/(2) * 6m


r = 3m

So:


V = (4)/(3)\pi r^3


V = (4)/(3) * \pi * 3^3


V = (4)/(3) * \pi * 27


V = 4 * \pi * 9


V = 4 * 9* \pi


V = 36* \pi

Take
\pi as 3.14


V = 36 * 3.14


V = 113.04m^3

Solving (b): Diameter of the larger tank

Diameter = 2.5 * Standard Model


Diameter = 2.5 * 6m


Diameter = 15m

User Breno
by
8.6k points

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