Answer:
sqrt(277) =x
x is approximately 16.64331698
Step-by-step explanation:
This is a right triangle since 14 is tangent to the circle and 9 is a radius
We can use the Pythagorean theorem to solve this problem
a^2 +b^2 =c^2
9^2+14^2 =x^2
81+196 = x^2
277 = x^2
Taking the square root of each side
sqrt(277) = sqrt(x^2)
sqrt(277) =x
7cos(x) + 1 = 6sec(x)
7cos(x) + 1 = 6/cos(x)
7cos^(x) + cos(x) = 6
7cos^(x) + cos(x) - 6 = 0
[7cos(x) - 6][cos(x) + 1] = 0
cos(x) = 6/7 , x = arccos(6/7) and
cos(x) = -1, x = 180
Answer:
565.49 or if rounded to the nearest tenth, 565.5
Explanation:
The formula for finding the volume of a cone is V=1/3Bh
B = pi times the radius squared
h = height
Substitute 6 for r and 15 for h.
V= 1/3·
·(
)·15
Multiply.
V= 565.49 or 565.5 rounded to the nearest tenth.
