Question

Помогите пожалуйста!!!!!Из жести требуется изготовить конический сосуд вместимостью 1 литр.Каков должен быть радиус основания этого конуса,если его высота равна 15 см?

Answer 1

V=1/3πR²h    1л=0,001м³=1000см³
1/3*3,14*R²*15=1000
15,7R²=1000
R²=1000:15,7≈63,69
R≈7,8см

Answer 2

Calculating the Radius of the Conical Vessel

To calculate the radius of the conical vessel with a volume of 1 liter and a height of 15 cm, we can use the formula for the volume of a cone:

Volume of a cone = (1/3) * π * r^2 * h

Where: - r = radius of the base of the cone - h = height of the cone

We can rearrange the formula to solve for the radius r:

r = √((3 * Volume) / (π * h))

Given that the volume is 1 liter (which is equivalent to 1000 cubic centimeters), and the height is 15 cm, we can substitute these values into the formula to find the radius.

Calculation

Using the given values: - Volume = 1000 cubic centimeters - Height (h) = 15 cm

We can calculate the radius using the formula: r = √((3 * 1000) / (π * 15))

Result

After performing the calculation, the radius of the conical vessel is approximately 6.67 cm.

This calculation is based on the formula for the volume of a cone and the given dimensions of the vessel. [[1 #]]