Answer:
About 376.99 cubic inches
Step-by-step explanation:
Cylinder has a volume of:

Where
V is the volume
r is the radius
h is the height
We need to find the volume of the cylinder, then multiply that answer by 3/4 to get the solution to this problem. First, the full volume of the cylinder.
Given
r = 4
h = 10
So,

Now, we multiply by 3/4:

Mary should be vase to 376.99 cubic inches
Answer:
1. diagram in the attachment
2. AB = 32.3 ft
Step-by-step explanation:
2. from the diagram:

We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.
First of all, we will draw a triangle as shown in the attachment.
We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.


Using inverse sine or arcsin, we will get:


Upon rounding to nearest degree, we will get:

Therefore, the measure of angle J is approximately 24 degrees.
Answer:
1. D
2. A
3. C
4. A
Step-by-step explanation: