Question

у целиндра площадь основания равна 78.5м в третей степени,вмещает 785м в третей степени . надо найти высоту целиндра

Answer 1

Объём цилиндра через площадь основания S и высоту h выражается как V=S*h⇒h=V/S=785/78,5=10 м. Только у вас видимо очепятка, площадь основания в квадратных единицах должна быть.

Ответ: 10 метров.

Answer 2

Finding the Height of the Cylinder

To find the height of the cylinder, we can use the formula for the volume of a cylinder, which is given by:

V = πr^2h

Where: - V is the volume of the cylinder - π is a mathematical constant approximately equal to 3.14159 - r is the radius of the cylinder's base - h is the height of the cylinder

Given that the area of the base of the cylinder is 78.5 square meters and the volume is 785 cubic meters, we can use this information to find the height of the cylinder.

Calculation

First, we need to find the radius of the cylinder's base. The formula for the area of the base of a cylinder is given by:

A = πr^2

Given that the area of the base is 78.5 square meters, we can solve for the radius (r):

78.5 = πr^2

Now, we can solve for r:

r^2 = 78.5 / π r = √(78.5 / π)

Next, we can use the volume of the cylinder to find the height. We know that the volume (V) is 785 cubic meters and the radius (r) is √(78.5 / π). Substituting these values into the volume formula, we can solve for the height (h).

785 = π * (√(78.5 / π))^2 * h

Solving for h will give us the height of the cylinder.

Let's calculate the value of h.