a cone and acylinder have equal volumes and ardii.The height of the cone is 12cm.Find the height of the cylinder
"Menstruation (men-STRAY-shuhn) is a woman's monthly bleeding. When you menstruate, your body sheds the lining of
the uterus (womb)."
I believe you mean mensuration.
"Definition of MENSURATION. 1. : the act of measuring : measurement. 2. : geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles."
Mensuration | Definition of mensuration by Merriam-Webster
www.merriam-webster.com/dictionary/mensurationMerriam‑Webste
To find the height of the cylinder when the cone and cylinder have equal volumes, we need to compare the formulas for the volume of a cone and a cylinder and solve the equation.
The volume of a cone is given by the formula:
V_cone = (1/3) * π * r^2 * h_cone
Where V_cone is the volume of the cone, π is a mathematical constant (approximately equal to 3.14159), r is the radius of the base of the cone, and h_cone is the height of the cone.
The volume of a cylinder is given by the formula:
V_cylinder = π * r^2 * h_cylinder
Where V_cylinder is the volume of the cylinder, r is the radius of the cylinder, and h_cylinder is the height of the cylinder.
Since the volumes of the cone and cylinder are equal, we can set up the following equation:
(1/3) * π * r^2 * 12 (for cone) = π * r^2 * h_cylinder (for cylinder)
Now we can cancel out the π and r^2 terms from both sides of the equation:
(1/3) * 12 = h_cylinder
Simplifying further:
4 = h_cylinder
Therefore, the height of the cylinder is 4 cm.
Volume of cone = (1/3)π r^2 h
volume of cylinder = π r^2 h , so three times as much
so clearly the height of the cylinder is 4 cm