Answer :
Answer:
340 units cube
Step-by-step explanation:
To find the volume of a cone, we can use the formula:
[tex]\Large\boxed{\boxed{ V = \dfrac{1}{3} \pi r^2 h}} [/tex]
Where:
- [tex] V [/tex] is the volume of the cone
- [tex] r [/tex] is the radius of the cone
- [tex] h [/tex] is the height of the cone
Given that the height [tex] h [/tex] is 13 units and the radius [tex] r [/tex] is 5 units, we can substitute these values into the formula:
[tex] V = \dfrac{1}{3} \pi (5)^2 (13) [/tex]
[tex] V = \dfrac{1}{3} \pi (25)(13) [/tex]
[tex] V = \dfrac{1}{3} \pi (325) [/tex]
[tex] V = \dfrac{325}{3} \pi [/tex]
[tex] V =340.33920413889 [/tex]
[tex] V = 340 \textsf{(in nearest whole number)} [/tex]
So, the volume of the cone is approximately 340 units cube.