Answer:
(1) 23.55mm³
(2) 340.17in³
Step-by-step explanation:
Volume of a cone is: [tex]V=\frac{1}{3} \pi r^2h[/tex]
'r' - radius
'h' - height
Cone 1:
The height of Cone 1 is 10 mm. The Diameter of Cone 1 is 3mm.
Radius is half the Diameter.
[tex]3/2=1.5[/tex]
The radius is 1.5 mm.
[tex]\text {Using 3.14 as pi: }\\V=(1/3)3.14*1.5^2*10\\V=(1/3)3.14*2.25*10\\V=(1/3)70.65\\\boxed{V=23.55}[/tex]
The volume of Cone 1 should be about 23.55mm³.
Cone 2:
The height of Cone 2 is 13 in. The Radius of Cone 2 is 5 in.
Using 3.14 as pi:
[tex]V=(1/3)3.14*5^2*13\\V=(1/3)3.14*25*13\\V=(1/3)1020.5\\\boxed {V=340.166666667}[/tex]
340.166666667 ≈ 340.17
The volume of Cone 2 should be about 340.17in³.
