Question

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm?
Use 3.14 to approximate pi, and express your final answer to the nearest hundredth.
Enter your answer in the box.
———— mm3

Answer 1

Answer:

2032.6852mm, you can round it to 2032.7mm

Step-by-step explanation:

0.33 x 3.14 x 6 x 18 x 18 = 2032.6852

Answer 2

Answer: 2,0340.70 mm³

Step-by-step explanation: To find the volume of a cone, start with the formula for the volume of a cone which is shown below.

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

Here, notice that our cone has a radius of 18 millimeters and a height of 6 millimeters so plugging into the formula, we have $(\frac{1}{3})(\pi)(18 mm)^{2}(6 mm).$

Start by simplifying the exponent and moving π to the end.

So we have $(\frac{1}{3})(324 mm^{2})(6 mm)(\pi).$

Next, notice that 3 in 1/3 and 6 cross cancel to 1 and 2.

Now multiplying, (1)(324mm²)(2mm) is 648 mm³.

So we have 684π mm³.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the volume by plugging in 3.14 for π.

So we have (648)(3.14) which is equal to 2,034.72 mm³.

Now, the problem wants us to round our answer to the nearest hundredth.

So we round to 2,034.70 mm³.

So the volume of the cone is approximately equal to 2,034.70 mm³.