Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
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 choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.