Can someone please check these for me. I have to leave answers in Pi.
Find the Volume of a right cone with radius 6 height 10
V=1/3 pi r squared*h
=1/3pi (6)^2(10)
=1/3(360)pi
=120pi
Find the volume of a sphere with radius 3cm
V=4/3 pi r^3
=4/3 pi3^3
=4/3(27)pi
=36pi
They appear correct, but you should add that the second answer is the volume in cubic centimeters. You do not specify the measurement dimensions of the cone, for some reason.
Yes, both calculations are correct. However, it is important to note that the units for the volume of the sphere are in cubic centimeters (cm³), as the radius is given in centimeters.
In the first calculation for the volume of the cone, you correctly used the formula: V = (1/3)πr²h, where r represents the radius and h represents the height. Plugging in the given values, you have:
V = (1/3)π(6)²(10)
= (1/3)π(36)(10)
= (1/3)(360)π
= 120π
Hence, the volume of the cone is 120π cubic units.
In the second calculation for the volume of the sphere, you correctly used the formula: V = (4/3)πr³, where r represents the radius. Substituting the given value:
V = (4/3)π(3)³
= (4/3)π(27)
= 36π
Therefore, the volume of the sphere is 36π cubic centimeters (cm³).