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Kamila [148]
2 years ago
5

Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find th

e total surface area of the cylinder.
PLEASE HELP ME AS FAST AS POSSIBLE
Mathematics
1 answer:
Kobotan [32]2 years ago
4 0

Step-by-step explanation:

lets radius be r and height be h,

r+h=21 -----(1)

curved surface area

2×pi×r×h=616 -----(2)

use simultaneous eqn to solve for r and h.

total surface area of cylinder= 2×pi×r×h + 2×pi×r²

= ans if im not wrong

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First, find the zeros:

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x = \frac{3}{4}               x = \frac{1}{2}

Next, plot these points and choose test points on the outside and between the zeros:

←-------0------\frac{1}{2}------\frac{5}{8}------\frac{3}{4}------1------→

Lastly, plug in the test points and look for a positive result (since it is greater than 0).

Test Point 0: [4(0) - 3][2(0) - 1]  = ( - )( - ) = +  THIS WORKS!

Test Point \frac{5}{8}: [4(\frac{5}{8}) - 3][2(\frac{5}{8}) - 1]  = ( - )( + ) = -  <em>This does NOT work</em>

Test Point 1: [4(1) - 3][2(1) - 1]  = ( + )( + ) = +  THIS WORKS!

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Interval Notation: (-∞, \frac{1}{2}] U [\frac{3}{4}, ∞)

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