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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?

Answers

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 [tex]V = 20b^3 + 12b^2[/tex]

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;

[tex]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[/tex]

Thus, the volume of the cylinder in terms of b is [tex]V = 20b^3 + 12b^2[/tex]

Learn more here: https://brainly.com/question/16142311


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Answers

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3

.

Explanation:

Density of an object is defined as the mass occupied per unit volume. “Density” is represented by “ρ”. Mathematically, \rho=\frac{m}{v}ρ=

v

m

where, “m" mass of an object and "v" is volume of an object.

Given that,

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\text { Volume of the block is } l \times b \times h Volume of the block is l×b×h

\text { Volume of the block is } 20 \times 5 \times 10 Volume of the block is 20×5×10

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3

.

Mass of the block is 2700 g.

Substitute the given values in \rho=\frac{m}{v}ρ=

v

m

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\rho=\frac{2700}{1000}ρ=

1000

2700

\rho=2.7 \mathrm{g} / \mathrm{cm}^{3}ρ=2.7g/cm

3

\text { "Density" of the given granite block is } 2.7 \mathrm{g} / \mathrm{cm}^{3} "Density" of the given granite block is 2.7g/cm

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