To find the volume of the pyramid, we have to calculate the base area and multiply it by the height of the pyramid.
The volume of the pyramid is calculated as 167in^3
The formula of volume of a pyramid is given as
[tex]v = \frac{1}{3} \pi r^2 h[/tex]
This can be further expressed as
[tex]volume = \frac{1}{3} * base area * height[/tex]
Data;
The length of the triangle is 10in and we can proceed to find the base area of the pyramid.
[tex]area = \frac{1}{2} * 10 * 10 = 50in^2[/tex]
The height of the pyramid is the same as the sides of the triangle as they are at right angle with the base.
volume of pyramid will be calculated as
[tex]v = \frac{1}{3} (50)(10) = 166.67 = 167in^3[/tex]
The volume of the pyramid is calculated as 167 cubic inches.
Learn more on volume of a pyramid here;
https://brainly.com/question/18994842
#SPJ2
