We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
Answer:
1. 
2. 
Step-by-step explanation:
<u>Problem #1:</u>
1. Find the GCF (Greatest Common Factor)

2. Factor out the GCF and simplify.

3. Factor 
<u>Which two numbers add up to 7 and multiply to 10?</u>
2 and 5
<u>Rewrite the expression using the above.</u>

4. Done!

<u>Problem #2:</u>
1. Find the GCF (Greatest Common Factor)

2. Factor out the GCF and simplify.

3. Use the perfect square formula. 


4. Done!

"22", "7" and "7,5" are the answers in order
Answer:
B, 9.625
Step-by-step explanation:
I know there's a more surefire method of doing this problem but since this is multiple choice, you can use process of elimination to solve it.
Answer:
x = 29
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 17 + 2x + 5 + 3x - 16 = 180
6x + 6 = 180
6x = 180 - 6
6x = 174
x = 29