The lateral area is pi*r*s where s is the slant height of the cone. So in this case pi*r*s=12pi so the slant height s = 12pi / 2pi = 6. The height of the cone will be h = sqrt(6^2 - 2^2) by Pythagoras or h=sqrt(32) = 4*sqrt(2). Now for the volume: for a cone V = (1/3)*pi*r^2*h so here V = (1/3)*pi*2^2*4*sqrt(2) which gives us V = (16/3)*pi*sqrt(2) or answer A.<span>
</span>
Attached solutions and work.
The greatest common factor is 32
Answer:
20
Step-by-step explanation:
Given data
Number of cups= 5 cups
Number of portions= 1/4 portions
Hence the number of 1/4 portion can be gotten as
=5/1/4
=5*4/1
=20
Therefore, the number of 1/4 portions is 20
Answer:
f(9) = 35
Step-by-step explanation:
To solve this, you can take 9 and replace both x's with it and then complete the equation;
f(x) = 4x - 1
f(9) = 4(9) - 1
f(9) = 36 - 1
f(9) = 35
Hope this helps!
