Respuesta :
Answer:
625 cm³
Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
Volume of a cone is:
V = ⅓ πr²h
The cylinder and cone have the same radius and height. So if the volume of the cylinder is 1876 cm³, then the volume of the cone is one third of that, or approximately 625 cm³.
Answer: Volume of cone = 625 cm³
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume of cylinder = πr²h- - - - - - 1
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant.
The formula for determining the volume of a cone is expressed as
Volume of cone = 1/3πr²h- - - - - - -2
Substituting equation 1 into equation 2, then
Volume of cone = 1/3 × volume of cylinder
If A has a volume of 1876 cm and Cylinder A and Cone B are the same height and the bases have the same radius, it means that
Volume of cone = 1/3 × 1876
= 625 cm³ to the nearest whole number