Answer:
3
Step-by-step explanation:
recall that 81 = 3 x 3 x 3 x 3 = 3⁴
given

= ( 3⁴) ^ (1/4)
= 
= 3
No, the height wouldn't be 70 feet, it would be 80 feet.
You would get this answer by using the equation h= A/b (h meaning height)
A = area ( or 20,000)
b= base ( or 250)
Then you divide A by b:
20,000/ 250 =
80
I hoped this helped! :)
<h2><em><u>
Answer: 628.3</u></em></h2>
Step-by-step explanation: Tenth is always the first decimal point so 1 rounds down, making it 628.3.
Answer:
dV/dt = 40π
Step-by-step explanation:
We are told that The radius r(t) of the base of a cone is increasing at a rate of 10 meters per second. Thus;
dr/dt = 10 m
Height: h = 6 m
Volume of cone is given by the formula;
V = ⅓πr²h
dV/dr = ⅔πrh
We want to find the rate at which the volume is changing at radius of 1m.
Thus;
dV/dt = (dV/dr) × (dr/dt)
dV/dt = ⅔π(1 × 6) × (10)
dV/dt = 40π