Answer:
radius x = 3 ft
height h = 23,8 ft
Step-by-step explanation:
From problem statement
V(t) = V(cylinder) + V(hemisphere)
let x be radius of base of cylinder (at the same time radius of the hemisphere)
and h the height of the cylinder, then:
V(c) = π*x²*h area of cylinder = area of base + lateral area
A(c) = π*x² + 2*π*x*h
V(h) = (2/3)*π*x³ area of hemisphere A(h) = (2/3)*π*x²
A(t) = π*x² + 2*π*x*h + (2/3)*π*x²
Now A as fuction of x
total volume 505 = π*x²*h + (2/3)*π*x³
h = [505 - (2/3)* π*x³ ] /2* π*x
Now we have the expression for A as function of x
A(x) = 3π*x² + 2π*x*h A(x) = 3π*x² + 505 - (2/3)π*x³
Taking derivatives both sides
A´(x) = 6πx - 2πx² A´(x) = 0 6x - 2x² = 0
x₁ = 0 we dismiss
6 - 2x = 0
x = 3 and h = [505 - (2/3)* π*x³]/2* π*x
h = (505 - 18.84) / 6.28*3
h = 23,8 ft
the answer for x is 1 because 1/3 should be multiplied by x and x is one
The correct answer is: "Graph 1" ; that is, the "first graph to the left" .
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→ {among the two graphs provided as answer choices.}.
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<u>Note</u>:
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The line drawn on the graph shown on the "first graph" — (that is, the graph shown to the far left, among the two graphs provided as answer choices) — reflect the linear equation given:
" y = 6x " ;
and the line shown on the "first graph shown to the left" consists of the coordinates reflected on the table given:
" (0, 0) , (1, 6), (2, 12), (3, 18) " .
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Note that the "second graph, to the far right, is incorrect; the line provided in the "second graph" shows that:
when "x = 4" , "y = 20" .
This is incorrect; since:
Given the equation:
" y = 6x " ;
→ y = 6(4) ;
→ y = 24 ; NOT "20" ; so "Graph 2" is incorrect.
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The correct answer is: "Graph 1" ; that is, the "first graph to the left" .
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Answer:
Violet used 4 scoops of sugar and mixed it with 26 cups of lemonade and if it makes 234 cups of lemonade then there is 208. 26 scoops of sugar would violate the cups of lemonade.
Step-by-step explanation:
Answer:
If it's the 5th sequence I would guess 2,5, and 11. Sorry if I'm wrong or if I misunderstood the question.
Step-by-step explanation:
