Total volume = Volume of Sphere + Volume of Cylinder
16 = (4/3)πr³ + πr²h
Express h in terms of r:
πr²h = 16 - (4/3)πr³
h = 16/πr² - (4/3)r
Next, let's solve for surface area:
Total Surface Area = SA of sphere + SA of cylinder
A = 4πr² + 2πrh
Substitute the expression for h:
A = 4πr² + 2πr[16/πr² - (4/3)r]
A = 4πr² + 32/r - (8/3)πr²
Find the derivative of A with respect to r and equate to zero.
dA/dr = 8πr - 32r⁻² - (16/3)πr = 0
Solve for r:
[(8/3)πr - 32/r² = 0]*r²
(8/3)πr³ - 32 = 0
r³ = 32*3/8π = 12/π
r = ∛(12/π)
<em>r = 1.56 inches</em>
Answer:
10 is essentially 10/1 and to get a reciprocal simply switch the numerator and the denominator.
1/10 which would be 0.1
Answer:
1. Your answer would be C) 2√3-5√2.
2. Your answer would be -39.7i.
3. Your answer would be -1.
Step-by-step explanation:
Answer:
On Friday he jogged
miles.
Step-by-step explanation:
Given : Eric jogged 3 1/4 miles on Monday, 5 5/8 on Tuesday, and 8 miles on Wednesday. suppose he continues the pattern for the remainder of the week.
To find : How far will Eric jog on Friday?
Solution :
On Monday he jogged
On Tuesday he jogged
On Wednesday he jogged 8 miles.
He jogged from Monday and Tuesday
He jogged from Tuesday and Wednesday
He jogs per day is
Now, In Thursday he jogged
In Friday he jogged
Therefore, On Friday he jogged
miles.
Answer:
91
Step-by-step explanation:
8x13=104-13=91 I have done this problem before on big ideas and it is either this or 87