Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
2:3
it was originally 8:12, but it has to be simplified. 2/3 can also work as an answer.
Answer:
parallel
Step-by-step explanation:
An equation of the form
y = k
where k is a number is a horizontal line.
Since both lines have the form y = k, with two different values of k, -2 and -7, these are two different horizontal lines, so they are parallel.
Answer: parallel
Answer:
Step-by-step explanation:
2 hours × 60 km/hour = 120 km
390-120 = 270 km remaining
270 km/(3 hours) = 90 km/hour
The answer is 4/5 because there are 20 in total squared and circles but the total shapes is 25 so simplify the fraction 20/25=4/5
