The volume of a cone varies jointly with the area of the base and the height of the cone.

where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is

Now we use the second set of info, the height and the volume, and we find the area of the base.




Answer: the area of the base is 31 cm^2
Number of comic books Bobbie has - b
95 = (9 + b) + b
Since 95 is the total number of comic books both boys have, it is equal to both boys' books added together. However, since we don't know how many books Kenny has, and only that he has 9 more than Bobbie, we can define that as (9 + b), or nine more than b. Then, we add b again, because (9 + b) is the number of books Kenny has, and if we add that to the number of books Bobbie has, it will equal the total of 95 comic books.
Let me help you!!! ok, so remember, it is always easier when you are multiplying one fraction, and one decimal, to keep it simple, and make it either both decimals, or both fractions! so, for instance, i will change the 3/4 into a decimal:
*0.75
you get that by dividing the 3 by 4.
Now, you just divide the 0.75 x 29.2, which is (21.9) hope that helps!!!
We can find the volume of any rectangular prism by simply multiplicating its height, length and width.
Also, lets change that 6 1/4 to 6.25, or 25/4 if you like. I’m gonna use 6.25.
If we take volume as “V”, then:
V = L * W * H
V = 3ft * 6.25ft * 14ft
V = 262.5 ft^3 (Its ft cubed because we multiplied by ft three times.)