Answer:
4.013 units
Step-by-step explanation:
We know that the volume of a cone is given by the following equation:
v = pi / 3 * r ^ 2 * h
we need to know the height, therefore we solve for h:
h = 3 * v / (pi * r ^ 2)
replacing v = 105 and r = 5
h = 3 * 105 / (3.14 * 5 ^ 2)
h = 4.013
Which means that the height measures 4.013 units
Answer:
A-8
Step-by-step explanation:
Any other higher number plugged in makes the equation false
Answer:
The side C equals to 10. hence the answer is letter A
Step-by-step explanation:
To solve this, we need to use trigonometric functions.
we know that sin (α) = Lo / H for a triangle. Being Lo : Length of the opposite side and H: Length of the hypotenuse.
Given α= 45º and Lo= 5√2 and replacing in the equation:
sin (45º) = 5√2 / C (1)
Using trigonometric identities we know that sin(45º) =(√2)/2. Replacing in equation (1):
sin (45º) = (√2)/2 = 5√2 / C ⇒ C = 2 *5 *√2 / (√2) ⇒ C=10
X = 4/15. The topic is solving for unknowns in an equation.
