Step-by-step explanation:
I guess the 3.14 is to be used for pi (and not r, which is what we need to find out).
the volume of a cylinder is ground area × height.
the ground area is the area of a circle, which is pi×r².
so, we have
pi×r²×height = 115 cm³
3.14×r²×7.7 = 115 cm³
3.14×r² = 14.93506494...
r² = 4.756390107...
r = 2.18091497... cm
Answer:
both each side of each triangle is equal
use alphabets to mark each edge of the triangles and prove congruency
Answer:
6825
Step-by-step explanation:
From the equation, the series is a geometric series, such that
a = 5
r = 4
n = 6
sum of a geometric series is a(r^n - 1)/(r - 1)
therefore,
sum of the series is 5 x (4^6 - 1) / (4 - 1)
= 5 x (4096 - 1) / 3
= 5 x 4095 / 3
= 6825
Answer:
for this one b=49.458
Step-by-step explanation:
Answer:
d = 13.8 feet
Step-by-step explanation:
Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder. That formula is

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet. Filling in then gives us:

Simplify on the right to get

Divide both sides by 125.6637061 to get that

Taking the square root of both sides gives you
r = 6.90988299
But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8