Volume of cone= 1/3 πr²*h
15²=10²+h²
h²=15²-10²=125
h=√125
Volume of cone= 1/3 *π*100*√125=π/3*(100*5√5)=500π√5/3
Volume of sphere=4/3*π*r³=4/3*π*1000=4000π/3
Volume of half sphere=(4000π/3)/2=2000π/3
All Volume=500π√5/3+2000π/3
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
Answer: $11.45
Step-by-step explanation:
Food pill: $9
Tax: 6%
Tip: 20%
\\x=11.45](https://tex.z-dn.net/?f=x%3D%289%29%2B%289%29%280.06%29%2B%5B%289%29%2B%289%29%280.06%29%5D%280.20%29%5C%5Cx%3D11.45)
Answer:
its 133
Step-by-step explanation:
50 fits into 6650 133 times. u cant show a pic but if you know division, its easy.
Formula: V = PI x r^2 x H
Volume = 3.14 x 4^2 x 10
Volume = 3.14 x 16 x 10
Volume = 3.14 x 160
Volume = 160π or 502.4 units^3