What does the word “keep” mean in “keep change flip” a) keep everything the same b) keep the first fraction the same c) keep the
2 answers:
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Answer:
correct option is 2187
Total surface area is 2,185.44 square inches.
lateral surface area is 640.56 square inches
Step-by-step explanation:
Given
radius of cylinder = 12 inches
height of cylinder = 17 inches
we will us value of pi as 3.14
surface area for cylinder consist of two part
1. lateral surface area which is gven by
where r is radius of cylinder and l is height of cylinder
Thus, lateral surface area for given cylinder is
Thus, lateral surface area for given cylinder is 1281.12 square inches.
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second part of surface area is area of two base (upper and lower) of cylinder.
area of base is given by area of circle
This, area of base is for one base of cylinder
since there are 2 base
area of both base will be = 2* area of one base
= 2*452.16 = 904.32.
Thus, area of base is 904.32 sq. in.
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Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches
= 2,185.44 square inches.
Thus, total surface area is 2,185.44 square inches.
lateral surface area is 640.56 square inches
but option which is closest to calculated value is 2187.
Thus, correct option is 2187
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Note: this problem can be directly solved using formula
total surface area for cylinder =
Check the picture below.
notice that 146° is sitting on a flat-line, and thus it has a sibling linear angle, namely 34°.
now, recalling that a triangle has a sum of 180° for all interior angles, the missing one is 126°, and incidentally that is a corresponding angle with "c".
