A cone and a cylinder have the same base and height, as shown below.(please see attached picture)The volume of the cylinder is 84(3.14) in^2 What can be concluded about the volume of the cone? Check all that apply.The volume of the cone is 1/3 the volume of the cylinder.The volume of the cylinder is 2 times the volume of the cone.The volume of the cone is less than the volume of the cylinder.The expression 84(3.14)/3 finds the volume of the cone.The expression 84 (3.14)/2 finds the volume of the cone.
Accepted Solution
A:
Answer with Step-by-step explanation:We know that volume of a cylinder with radius r and height h is:πr²hand volume of cone with radius r and height h is:πr²h/3Volume of cone=Volume of cylinder/3 < Volume of cylinderVolume of cylinder=84π in² where π=3.14 Volume of cone=84π/3 in² = 84(3.14)/3 in²Hence, correct options are:The volume of the cone is 1/3 the volume of the cylinder.The volume of the cone is less than the volume of the cylinder.
The expression 84(3.14)/3 finds the volume of the cone.