Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is [tex]V=Bh[/tex], the volume of a pyramid/cone is [tex]V=\frac{1}3Bh[/tex].
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is [tex]A=\pi r^2[/tex] where r is the radius.
[tex]A=\pi (4)^2=\pi (4\times4)=16\pi=B[/tex]
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
[tex]V=\frac{1}3\times16\pi \times9[/tex]
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
[tex]V\approx\frac{1}3\times50.24\times9[/tex]
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
[tex]V\approx3\times50.24[/tex]
[tex]\boxed{V\approx150.72\ cm^3}[/tex]
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is [tex]A=\pi r^2[/tex] where r is the radius.
[tex]A=\pi (4)^2=\pi (4\times4)=16\pi=B[/tex]
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
[tex]V=\frac{1}3\times16\pi \times9[/tex]
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
[tex]V\approx\frac{1}3\times50.24\times9[/tex]
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
[tex]V\approx3\times50.24[/tex]
[tex]\boxed{V\approx150.72\ cm^3}[/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.