Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
Answer:
x = <u>3</u><u>b</u>
2c
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The answer is a.0
Concentric means these circles would have the same center, thus, the smaller circle must be inside the bigger circle. Any tangent line to the smaller circle wont be a tangent line to the bigger circle, since that tangent line would intersect at the bigger circle at 2 points. Any tangent line to the big circle will not touch the small circle... so the answer would be 0.
debt is greater than 25
you owe more than 25 dollars
Step-by-step explanation:
- <em><u>distribute</u></em><em><u> </u></em>4 through the parentheses
- move the <em><u>variable</u></em><u> </u>to the left hand side and change its sign
- move the <em><u>constant </u></em>to the right hand side and change its sign
- collect<em><u> like</u></em><em><u> terms</u></em>
<em><u></u></em>
- divide both sides of the equation by <em>-</em><em>5</em>
<em></em>
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<em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em></h2>