2. a tree casts a 13-foot shadow. the distance from the top of the tree to the far end of the shadow is 22 feet. if the tree is perfectly straight and creates a right angle with the ground, how tall is the tree?

We use the Pythagorean Theorem.

Hypotenuse = 22  one leg = 13

other leg^2 = 22^2 - 13^2

other leg^2 = 484 -169

other leg^2 = 315

other leg = 17.7482393493 (which is the height of the tree).

Step-by-step explanation:

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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step-by-step explanation: