Question

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The formula for the volume of the circular cylinder show is v= r^2h. If r= 2b and h= 5b+3, what is the volume of the cylinder in terms of b?

Answer 1

Answer:

Step-by-step explanation:

The equation for volume is incorrect. The volume of a cylinder with radius r and height h is πr²h.

volume = π(2b)²(5b+3)

= π(4b²)(5b+3)

= π(20b³+12b²)

Answer 2

The formula for the volume of the given circular cylinder in terms of b is $V = 20b^3 + 12b^2$

The given expression:

volume of circular cylinder, V = r²h

r = 2b

h = 5b + 3

To find:

• the volume of the cylinder in terms of b

To find the volume of the cylinder in terms of b, we will substitute the given values of r and h as follows;

$V = r^2 h\\\\V = (2b)^2 (5b + 3)\\\\simplify \ the \ expression;\\\\V = 4b^2 (5b + 3)\\\\remove \ the \ bracket \ by \ multiplying \ through \ by \ 4b^2\\\\V = 20b^3 + 12b^2$

Thus, the volume of the cylinder in terms of b is $V = 20b^3 + 12b^2$

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