Volume of cone = 1/3 pi r(squared).h
Volume of Cylinder = pi r(squared).h
By the problem, they are equal.
So,
1/3 pi.12^2.12= pi 8^2.h
h= 144.4/64 =9
height of the cylinder is 9cms
We are asked to solve for the area of the sector in a circle which central angle measures 125° and the circle also has a diameter of 13 feet. To solve this problem, we need to use the formula in solving area of a sector and it is shown below:
Area of a sector = (central angle / 360) * pi*r²
In the problem, we have radius = diameter / 2 which is r = 13/2 and r = 6.5 feet
Area = (125/360)*pi(6.5)²
Area = (125/360) * 3.14*6.5²
Area = 46.06 feet²
The answer is 46.1 feet².
Answer:
(6,13)
Step-by-step explanation:
use midpoint formula
(-9 + 21) ÷2 , (5+21) ÷2
12 ÷2 , 26 ÷ 2
6, 13
so the midpoint is at coordinates (6,13)
This is a 3-4-5 triangle.
Remember,
SOH-CAH-TOA
S(ine) = O(pposite)/H(ypotenuse)
C(osine) = A(djacent)/H(ypotenuse)
T(angent) = O(pposite)/A(djacent)
In Cosine, the adjacent = 3, and the Hypotenuse = 5
Hypotenuse is the longest side.
3,4,5 is the triangle that fits inside, therefore, the Opposite is 4, and Adjacent is 3
T(angent) = O(pposite)/A(djacent)
Plug in the numbers
T = 4/3
tan = 4/3 is your answer
hope this helps
