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Bumek [7]
2 years ago
6

The volume of a right circular cone is found using the equation V = 1 3 π r 2 h . Which equation represents the volume solved fo

r r ? r = √ π V 3 h r = √ π V 3 h r = √ V h 3 π r is equal to square root of cap v h over 3 pi end root r = √ 3 π V h r is equal to square root of 3 pi over cap v h end root r = √ 3 V π h r = √ 3 V π h
Mathematics
1 answer:
alex41 [277]2 years ago
6 0

Solving for a variable in an equation means, we are changing the subject of formula of the equation.

The equation of r is: \mathbf{r = \sqrt{\frac{3V}{\pi h}}}

The equation is given as:

\mathbf{V = \frac 13 \pi r^2h}

We start by multiplying both sides by 3

\mathbf{V \times 3= \frac 13 \pi r^2h \times 3}

Rewrite as:

\mathbf{3V= \pi r^2h}

Divide both sides by \mathbf{\pi h}

\mathbf{\frac{3V}{\pi h}= \frac{\pi r^2h}{\pi h}}

Cancel out common factors

\mathbf{\frac{3V}{\pi h}= r^2}

Take square roots of both sides

\mathbf{\sqrt{\frac{3V}{\pi h}}= \sqrt{r^2}}

Evaluate the right-hand sides

\mathbf{\sqrt{\frac{3V}{\pi h}}= r}

Make r the subject

\mathbf{r = \sqrt{\frac{3V}{\pi h}}}

Hence, the resulting equating for r is:

\mathbf{r = \sqrt{\frac{3V}{\pi h}}}

Read more about the subject of formulas at:

brainly.com/question/21866313

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The volume length and breadh of a<br>cuboid are 60cm3, 5cm, 4cm then it<br>height is​
patriot [66]

Answer:

3cm

Step-by-step explanation:

volume of cuboid =length × base × height

so height will be

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v=60cm^3

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h= 60 ÷(5×4)

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7 0
2 years ago
Five numbers has a mean of 12. When one (1) number is removed the mean is 11. What is the value of the number removed?
bonufazy [111]

Answer:

16

Step-by-step explanation:

The mean of a group of values is calculated as

mean = \frac{sum}{count}

Given 5 numbers with a mean of 12, then

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sum = 60

let the number removed be x , then

\frac{60-x}{4} = 11 ( multiply both sides by 4 )

60 - x = 44 ( subtract 60 from both sides )

- x = - 16 ( multiply both sides by - 1 )

x = 16

The number removed was 16

6 0
3 years ago
Please help me please i really need help please
vladimir2022 [97]

Answer:

x= -6

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the
Papessa [141]

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle ABCD as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}

Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}

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3 years ago
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