The volume of a cone with base radius and height is
Similarly, the volume of a sphere with radius is
We know that and that
So, we can set up the following equation:
We can simplify the common denominator 3, and pi appearing on both sides:
We can divide both sides by 4:
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
Hi Lindsay882,
Your Question:
Use the conditional statement to answer the question.
If an angle measures 43°, then the angle is acute.
Are the statement and its inverse true?
Both the statement and its inverse are false.
The statement is true, but the inverse is false.
The statement is false, but the inverse is true.
Both the statement and its inverse are true.
Solution:
Any angle below 90 degrees is acute.
Any angle higher than 90 degrees its obtuse.
Answer:
43 degrees = acute angle
D. Both the statement and its inverse are true.
Pat must be 14. for if he is fifteen, double his age plus 5 years would be 35. but their ages must be lower, so pat must be 14.
First one A second one C third one d 4th one E
Answer:
4/5
Step-by-step explanation:
In a right triangle such as this one
cos (angle) = adjacent leg / hypotenuse
cos(k) = KL / 15
You will need to find the leg length KL using Pythagorean Theorem
15^2 = 9^2 + (KL)^2 KL = 12
then cos k = 12/15 = 4/5