The cylinder and the cone have a common base and the total height, calculate the volume
| June 26, 2021 | education
The cylinder and the cone have a common base and the total height, calculate the volume of the cylinder if the volume of the cone is 7.
Since the bases of the cone and cylinder are equal, the areas of the bases are also equal.
S1 = S2 = Sbase = π * AO ^ 2.
The volume of the cone is equal to: Vfin = Smax * h / 3 = Smax * OO1 / 3 = π * AO ^ 2/3 = 7 cm3.
The volume of the cylinder is: Vcyl = Sb * h = Sb * OO1 = π * AO ^ 2.
Then Vcyl = 3 * Vfin = 3 * 7 = 21 cm3.
Answer: The volume of the cylinder is 21 cm3.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
