Calculate the surface area of the closed half-cylinder. all measurements are in cm
1 answer:
Answer:
2656.31
Step-by-step explanation:
To calculate the surface area, we need to find the area of all the faces, and add them together.
The faces of the cylinder are: the rectangular base, the curved top, and the two semicircles on the side.
Rectangular base:
A = length x width
A = 29.3 x 16.2
A = 474.66
Two semicircles:
A = x
(I'm using the formula for a circle, because the two semicircles are identical, so together they form a circle)
radius = 29.3/2 = 14.65
A = x
A = 674.256 (rounded to 3 decimal places)
Curved top:
The curved top, when flattened out, becomes a rectangle with a length of 16.2. The width is equal to half the circumference of the circle formed by the two semicircles.
To find the width, use the circumference (C) formula.
C = x diameter
diameter = 29.3
C = x 29.3
C = 93.049 (rounded to 3 DP)
Area (of curved top) = length x width
A = 16.2 x 93.049
A = 1507.394 (rounded to 3 DP)
Surface Area
SA = 474.66 + 674.256 + 1507.394
SA = 2656.31
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Answer:
2)A plane has length and width.
3)A plane extends infinitely in all directions
5)A plane is a flat surface.
Step-by-step explanation:
We can think of a plane as a line in space with no height, only length and width.
Yes, a plane is a two-dimensional surface, hence it has length and width.
2)A plane has length and width (TRUE)
The plane surface extends infinitely far, therefore it extends infinitely in all direction.
3)A plane extends infinitely in all directions (TRUE)
5)A plane is a flat surface(TRUE)
The correct options are 2,3 and 5.
See attachment
