Answer:
The area of cone is 7240cm³.
Step-by-step explanation:
Given that the diameter is 2 times greater than radius.
So the radius of this cone will be 16cm.
Next, we have to apply volume formula, V = (1/3)×(area of circle)×height.
Formula for area of circle is A = π×r² :
[tex]V = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]V = \frac{1}{3} \times \pi \times {16}^{2} \times 27[/tex]
[tex]V = 7240 { \: cm}^{3} \: \: (3sf)[/tex]
Answer:
The volume of cylinder is 7234.56 cm³.
Step-by-step explanation:
Given :
To Find :
Using Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\pink{Volume_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}}}[/tex]
Solution :
Finding the radius of cone by substituting the values in the formula :
[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]
[tex]\implies{\sf{Radius = \dfrac{32}{2}}}[/tex]
[tex]\implies{\sf{Radius = \cancel{\dfrac{32}{2}}}}[/tex]
[tex]\implies{\sf{\underline{\underline{\red{Radius = 16 \: cm}}}}}[/tex]
Hence, the radius of cone is 16 cm.
[tex]\rule{200}2[/tex]
Now, finding the volume of cone by substituting the values in the formula :
[tex]{\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]
[tex]{\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times {(16)}^{2} \times 27}}}[/tex]
[tex]{\implies{\sf{Volume_{(Cone)} = \dfrac{1}{\cancel{3}} \times \dfrac{314}{100} \times {(16 \times 16)}\times \cancel{27}}}}[/tex]
[tex]{\implies{\sf{Volume_{(Cone)} = \dfrac{314}{100} \times 256 \times 9}}}[/tex]
[tex]{\implies{\sf{Volume_{(Cone)} = \dfrac{314}{100} \times 2304}}}[/tex]
[tex]{\implies{\sf{Volume_{(Cone)} = \dfrac{314 \times 2304}{100}}}}[/tex]
[tex]{\implies{\sf{Volume_{(Cone)} = \dfrac{723456}{100}}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{Volume_{(Cone)} = 7234.56 \: {cm}^{3}}}}}}}[/tex]
Hence, the volume of cone is 7234.56 cm³.
[tex]\rule{300}{1.5}[/tex]
