Question

Объем конуса равен 100пи см(кв),высота основания 5 см.Найти радиус конуса

Answer 1

Как то так..................................

Answer 2

Finding the Radius of a Cone

To find the radius of a cone given its volume and the height of its base, we can use the formula for the volume of a cone:

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

where π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the base.

In this case, we are given that the volume of the cone is 100π cm^3 and the height of the base is 5 cm. We need to find the radius of the cone.

Let's solve for the radius using the given information:

Volume of the cone = (1/3) * π * r^2 * h = 100π cm^3, Height of the base (h) = 5 cm.

Substituting the given values into the formula, we have:

(1/3) * π * r^2 * 5 = 100π.

Simplifying the equation, we can cancel out the π terms:

r^2 * 5 = 100.

Dividing both sides of the equation by 5, we get:

r^2 = 20.

Taking the square root of both sides, we find:

r = √20.

Therefore, the radius of the cone is approximately √20 cm.

Please note that the exact value of the radius depends on the precision of the given measurements.