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12.11.2019 •
Mathematics
(m+4n-12)
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Ответ:
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.
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).](/tpl/images/0514/3965/a82f9.png)
Start by simplifying the exponent and moving π to the end.
So we have![(\frac{1}{3})(324 mm^{2})(6 mm)(\pi).](/tpl/images/0514/3965/37002.png)
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.