Find each sum or difference. (W^2 - 4w-1)+(-5+5w^2

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder th

AlexFokin [52]

Answer:

The volume of the cylinder is 900 cubic inches

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Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

$V_1 = 300in^3$

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

$V_1 = \frac{1}{3}\pi r^2h$

The volume of a cylinder is calculated as:

$V_2 = \pi r^2h$

Since, the cone and cylinder have the same dimensions, we can substitute $\pi r^2h$ for $V_2$ in $V_1 = \frac{1}{3}\pi r^2h$

So, we have:

$V_1 = \frac{1}{3} * V_2$

Multiply both sides by 3

$3 * V_1 = \frac{1}{3} * V_2 * 3$

$3 * V_1 = V_2$

$V_2 = 3 * V_1$

Substitute $300in^3$ for $V_1$

$V_2 = 3 * 300in^3$

$V_2 = 900in^3$

<em>Hence, the volume of the cylinder is 900 cubic inches</em>

6 0

2 years ago

Amy charges $12 more for 5 hours of babysitting then she dies for 3 hours of babysitting. What does Amy charge per hour of baby

ArbitrLikvidat [17]

Answer:

$6

Step-by-step explanation:

5-3

2

12/2

3 0

2 years ago

Can u tell me how to do it step by step

Novosadov [1.4K]

18.72 is the answer to the problem

5 0

2 years ago

Read 2 more answers

A. Write the formula for the area A of a trapezoid. Use b1 and b2 for the lengths of the bases, and use h for the height.

lesya692 [45]

Answer:

(a) The formula for the area A of a trapezoid

$A = \frac{1}{2}(b_{1}+ b_{2})h$

(b) Solve the formula for h

$h = \frac{2A}{b_{1}+b_{2}}$

(c) Find the height h of the trapezoid

The height h of the trapezoid is 6 cm.

Step-by-step explanation:

(a) The formula for the area A of a trapezoid

As b₁, b₂ being the lengths of the bases and 'h' is the height.

So, the formula for the area A of a trapezoid

$A = \frac{1}{2}(b_{1}+ b_{2})h$

(b) Solve the formula for h

As the formula for the area A of a trapezoid is

$A = \frac{1}{2}(b_{1}+ b_{2})h$

So, formula for height h of trapezoid

$h = \frac{2A}{b_{1}+b_{2}}$

(c) Using the new formula to find the height h of the trapezoid

Using $h = \frac{2A}{b_{1}+b_{2}}$ to find the height h of the trapezoid.

So,

$h = \frac{2A}{b_{1}+b_{2}}$

$h = \frac{2(72)}{16+8}$ ∵b₁ = 16, b₂ = 8, A = 72cm²

$h = \frac{144}{24}$

$h = 6 cm$

So, h = 6 cm

Hence, The height h of the trapezoid will be 6 cm.

Keywords: area of trapezoid, length, base, height

Learn more about height of trapezoid from brainly.com/question/9967451

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8 0

3 years ago

Whats the correct equation to solve for x

Artist 52 [7]

Answer:

$12x - 29 + 4x + 1 = 180$

<h3>THIS IS THE RIGHT EQUATION</h3>

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find each sum or difference. (W^2 - 4w-1)+(-5+5w^2 - 3w)