What is the GCF of 28 and 72? Please explain if you can.
1 answer:
You might be interested in
Answer:
The volume of the cone is approximately 453.0 cm³
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.
However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:
So we can find the height of the cone with that:
Now that we have the cone's height, we can solve for its volume:
Answer:
1. ft 2.
yards 3.
units.
Step-by-step explanation:
Pythagorean's Theorem
A and b are both side lengths, c is the hypotenuse.
7^2 + 5^2 = 74
sqrt(74) is the answer for 1.
30^2 - 5^2 = 875
Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.
There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.