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Alex_Xolod [135]
2 years ago
12

The volume of a cone is 3.7x3 cubic units and its height is x units.

Spanish
1 answer:
Serjik [45]2 years ago
4 0

Answer:

r =  x\sqrt{3.54}

Explanation:

<em>The options are not well presented; However, the solution is as follows</em>

Given

Shape: Cone

Volume = 3.7x^3

Height = x

Required

Find the radius of the cone

The volume of a cone is:

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

Where h represents height and r represents radius;

Substitute x for h and 3.7x^3 for Volume

\frac{1}{3}\pi r^2 * x =  3.7x^3

Multiply both sides by 3

3 * \frac{1}{3}\pi r^2 * x =  3.7x^3 * 3

\pi r^2 * x =  3.7x^3 * 3

\pi r^2 * x =  11.1x^3

Multiply both sides by x

\frac{\pi r^2 * x}{x} =  \frac{11.1x^3}{x}

\pi r^2 =  \frac{11.1x^3}{x}

\pi r^2 =  11.1x^2

Take π as 3.14

3.14 *  r^2 =  11.1x^2

Divide both sides by 3.14

\frac{3.14 *  r^2}{3.14} =  \frac{11.1x^2}{3.14}

r^2 =  \frac{11.1x^2}{3.14}

r^2 =  3.54x^2

Take Square root of both sides

\sqrt{r^2} =  \sqrt{3.54x^2}

r =  \sqrt{3.54x^2}

Split the square root

r =  \sqrt{3.54} * \sqrt{x^2}

r =  \sqrt{3.54} * x

r =  x\sqrt{3.54}

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