Question

What is the approximate volume of the cone below?
​ With a hight of 7 and a radius of 5
A
549549 cm3
3

B
183183 cm3
3

C
7070 cm3
3

D
733733 cm3
3

Answer 1

To find the volume of a cone, you can use the formula:

\[
V = \frac{1}{3} \pi r^2 h
\]

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

Given:
- Height \( h = 7 \) cm
- Radius \( r = 5 \) cm

Substituting the values into the formula:

\[
V = \frac{1}{3} \pi (5^2)(7)
\]

Calculating \( 5^2 \):

\[
5^2 = 25
\]

Now substitute back into the volume formula:

\[
V = \frac{1}{3} \pi (25)(7) = \frac{1}{3} \pi (175)
\]

Calculating \( \frac{175}{3} \):

\[
\frac{175}{3} \approx 58.33
\]

Now including \( \pi \):

\[
V \approx 58.33 \pi
\]

Using \( \pi \approx 3.14 \):

\[
V \approx 58.33 \times 3.14 \approx 183.33 \, \text{cm}^3
\]

Therefore, the approximate volume of the cone is about 183 cm³.

Looking at the provided options, the closest answer is:

**B**: 183183 cm³ (though the volume is actually around 183.33 cm³, if we consider the first part of the option)