Mathematics: The height of a cone is twice the radius of its base.What expression represents the volume of the cone, in cubicunits?1. 2/3 pix^32. 4/3 pix^23. 2pix^34.4pi x^3

The height of a cone is twice the radius of its base.What

libby143

28.01.2022

The correct answer is option 1. $\frac{2}{3} \pi x^3$ cubic units.

Step-by-step explanation:

The formula for the volume, V of a right angled cone is given as:

$V = \dfrac{1}{3} \pi r^{2} h ...... (1)$

Where, $\pi = 3.14$

is the radius of the circular base of the cone.

is the height of the cone.

We are given that height is twice of the radius of its base.

Let the radius of base = units

Now, As per the question statement,

The height of cone= $2 \times x$ units

Putting the values of r, h in equation (1) to find the volume:

$\Rightarrow \dfrac{1}{3} \times \pi \times x^{2} \times 2x\\\Rightarrow \dfrac{2}{3}\pi x^{3}$

Hence, the correct answer is option 1. $\dfrac{2}{3}\pi x^{3}$ cubic units.

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james22000

27.02.2023

Option (d) is correct.

The approximate diameter of the given circle is 250 ft.

Step-by-step explanation:

Given : The Circumference of circle is feet

We have to find the approximate diameter of the given circle and choose the correct option from given options.

Diameter of a circle is twice the radius

that is diameter = 2(radius) = 2r

Consider the circumference of circle is feet.

Also, Circumference of circle =

Comparing both terms,

We have,

Divide both side by π , we have,

Thus, 2r = d

So,

Thus, The approximate diameter of the given circle is 250 ft.

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