Answer:
RP=190
TP=136
C=1,099
Step-by-step explanation:
RECTANGULAR PRISM, the equation is A=2(wl+hl+hw)
A=5*5+7*5+7*5
A=25+35+35
A=95*2
A=190
TRIANGULAR PRISM, the equation is A=1/2bh for the top and bottom triangles and A=lw for the sides
A=1/2(6)(4)
A=1/2*24
A=12
A=7*5
A=35
A=7*6
A=42
12*2=24
35*2=70
24+70+42=136
CYLINDER, the equation is A=2πrh+2πr2
A=2*3.14(7)(18)+2*3.14(7)^2
A=6.28*126+6.28*49
A=791.28+307.72
A=1,099
30 just multiply 15 times 2 your welcome
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.49
Answer:
Step-by-step explanation:
For this case we are interested on the region shaded on the figure attached.
And we can find the volume with the method of rings.
The area on this case is given by:
![A(x) = \pi [f(x)]^2 = \pi r^2 = \pi [3x]^2 = 9\pi x^2](https://tex.z-dn.net/?f=%20A%28x%29%20%3D%20%5Cpi%20%5Bf%28x%29%5D%5E2%20%3D%20%5Cpi%20r%5E2%20%3D%20%5Cpi%20%5B3x%5D%5E2%20%3D%209%5Cpi%20x%5E2)
And the volume is given by the following formula:
For our case our limits are x=0 and x=2 so we have this:
And if we solve the integral we got this:
![V= \pi [\frac{x^3}{3}]\Big|_0^{2}](https://tex.z-dn.net/?f=%20V%3D%20%5Cpi%20%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5D%5CBig%7C_0%5E%7B2%7D)
And after evaluate we got this:
![V=\pi [(\frac{8}{3} )-(\frac{0}{3} )]](https://tex.z-dn.net/?f=%20V%3D%5Cpi%20%5B%28%5Cfrac%7B8%7D%7B3%7D%20%29-%28%5Cfrac%7B0%7D%7B3%7D%20%29%5D)
