Answer:
Step-by-step explanation:
V of a sphere is (4/3)*pi*r³, and because we have 3 scoops
V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³
Answer: the diameter is 7cm And the radius is 3.5 cm
Step-by-step explanation:
Answer:
or 
Step-by-step explanation:
Given

Required
Solve and graph

Remove absolute bracket
or 
Solve for p
or 
or 
Divide by -1
or 
<em>See attachment for plot</em>
The length of that arc is (90/360)·2·π·6 = (1/4)·12·π = 3·π ≈ 9.42 units;
Answer:
Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]
Step-by-step explanation:
We are given that a function

Interval [1,5]
The given function is defined on this interval.
Hypothesis of Mean Value Theorem:
(1) Function is continuous on interval [a,b]
(2)Function is defined on interval (a,b)
From the graph we can see that
The function is continuous on [1,5] and differentiable at(1,5).
Hence, the function satisfies the hypothesis of the Mean Value Theorem.