Answer:
(b) 80/3π in³
Step-by-step explanation:
The volume of a circular cone is given by ...
V = 1/3πr²h . . where r is the radius (half the diameter) and h is the height
Your cone has r = 4 inches and h = 5 inches, so its volume is ...
V = (1/3)π(4 in)²(5 in) = 80/3π in³
The volume of the cone is exactly (80/3)π cubic inches.
Answer:
Assuming you want to simplify the expression, it can be shortened to:
-k² - 2k
Step-by-step explanation:
What you need to do here is called grouping like terms. Like terms can be described as terms that have the same factors. In this case, the factors we're looking at are k and k²:
Given:
k - 3k² -3k + 2k²
We'll rearrange to group like expressions:
= -3k² + 2k² + k -3k
Pull out common factors:
= (-3 + 2)k² + (1 - 3)k
And simplify:
= -k² - 2k
Answer:
52
Step-by-step explanation:
We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:
We want to isolate the variable, so subtract 7 from both sides. This gives us:
Finally, we divide both sides by 3, giving:
So the teacher is 52 years old.
Hope this helps!
easy 214.7 because if it was rounded it would be 214.700 an this is way bigger than 214.275
