Answer:
11.304 cubic inches.
Step-by-step explanation:
Substitute the values of the radius and the height into the expression, and then use the correct order of operations to simplify the expression.
1. Parentheses or Brackets from the inside out
2. Exponents
3. Multiplication and Division from left to right
4. Addition and Subtraction from left to right
The volume of the cone is the amount of sand in the cone.
The volume of the cone based on the values of radius and height is 31.4 cubic inches
The expression for volume is:
[tex]\mathbf{V = \frac 13 \pi r^2h}[/tex]
The values of radius (r) and height (h) are:
[tex]\mathbf{r = 2\frac 12}[/tex]
[tex]\mathbf{h = 4\frac 45}[/tex]
So, the volume is calculated as:
[tex]\mathbf{V = \frac 13 \pi r^2h}[/tex]
This gives
[tex]\mathbf{V = \frac 13 \times 3.14 \times (2\frac 12)^2 \times 4\frac 45}[/tex]
Express fractions as improper fractions
[tex]\mathbf{V = \frac 13 \times 3.14 \times (\frac 52)^2 \times \frac{24}{5}}[/tex]
[tex]\mathbf{V = \frac 13 \times 3.14 \times \frac{25}4 \times \frac{24}{5}}[/tex]
[tex]\mathbf{V = 31.4}[/tex]
Hence, the volume of the cone based on the values of radius and height is 31.4
Read more about volumes at:
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