Answer:
250cm³
Step-by-step explanation:
The formula for volume is given:
[tex]V=\frac{\pi r^2h}{3}[/tex]
The diameter is also given: 10cm. To find the radius, divide the diameter by 2:
[tex]r=\frac{d}{2}\\r=\frac{10}{2}=5[/tex]
Now, plug that in all the known variables and solve for the volume:
[tex]\rightarrow V=\frac{(3)(5)^2(10)}{3}\\\rightarrow V=\frac{(3)(25)(10)}{3}\\\rightarrow V=\frac{750}{3}\\\rightarrow V=250[/tex]
The volume of the cone is 250cm³
