Answer:
r = 16 cm
g = 34 cm
LA = 1708.16 cm^2
Step-by-step explanation:
We have that for the cone, the formula is as follows:
v = pi / 3 * r ^ 2 * h
the first thing they ask is to calculate the radius, therefore we solve for r
r ^ 2 = 3 * v / (pi * h)
replacing the volume and height, it remains:
r ^ 2 = 3 * 2560 * pi / (pi * 30)
r ^ 2 = 3 * 2560/30 = 256
r = 16
Now, to calculate the slant height, that is to say g, we can calculate it knowing the height and the radius:
g ^ 2 = r ^ 2 + h ^ 2
g ^ 2 = 16 ^ 2 + 30 ^ 2
g ^ 2 = 1156
g = 34
The lateral area of the cone is given by the following equation:
LA = pi * r * g
replacing
LA = 3.14 * 16 * 34
LA = 1708.16 cm ^ 2
the lateral area is 1708.16 cm ^ 2
Answer: 5 blocks
Step-by-step explanation:
If they both walked in the same direction, they both will be the same distance from each other.
If Madison went to a coffee shop 2 blocks west from the store, and her sister went from the store they were previously at to her job 7 blocks west, then, since they walked in the same direction, they would only be 5 blocks away.
Hope this helps :)
-jp524
SA=4pir^2
SA=4pi13^2
SA=4pi169
SA=676pi ft^2
I think you mean circumference...Area is
. We have the area so we need to use it to solve for the radius which we will then use in the circumference formula.
. Divide both sides by pi to get
. Of course the simplification of the left side gives us
and r = 4. Now fill that in to the circumference formula, which is
, to get C
which is a circumference of
Yes, you are correct.
Hope my answer helped u :)
