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vova2212 [387]
2 years ago
15

The given figure is a solid object formed by a cylinder and a hemisphere. If the total length of that solid object is 64 cm and

length of the cylinder is 50 cm, find the total surface area of the solid object.​

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
8 0

The total surface area of the solid object is 2660.925 square cm the answer is 2660.925 square cm.

<h3>What is a cylinder?</h3>

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\rm V = \pi r^2 h

The surface area of the

= surface area of half sphere + surface area of the cylinder - surface area

  of one circular base

The radius r = (64-50)/2 = 7 cm

= (1/2)[4π(7)²] + 2π(7)(50) + 2π(7)² - π(7)²

= (1/2)[615.75] + 2506.99 - 153.94

= 307.875 + 2506.99 - 153.94

= 2660.925 square cm

Thus, the total surface area of the solid object is 2660.925 square cm the answer is 2660.925 square cm.

Learn more about the cylinder here:

brainly.com/question/3216899

#SPJ1

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const2013 [10]
What I see here is a triangle sitting on top of a rectangle, and the
base of the triangle is equal to the length of the rectangle. 
To see this, just draw a line between 'F' and 'S'.  We can find the
area of the triangle, hen find the area of the rectangle, and then
add the two areas to get the area of the whole polygon.

The triangle:
. . . The base of the triangle is 9 units long.
. . . The height of the triangle is 6 units  (from point 'N' down to the line FS).
. . . The area of a triangle is
                                             (1/2) · (base · height)

                                       =    (1/2) · (9units · 6units)

                                       =    (1/2) · (54 units²)  =  27 units².

The rectangle:
. . . The length of the rectangle = 9 units.  (line FS)
. . . The height of the rectangle = 2 units. (line WF  or  line CS)
. . . The area of a rectangle is

                                               (length) · (height)

                                             =  (9units · 2units)

                                             =  18 units²

The whole polygon:
The area of the whole polygon is

                   (area of the triangle)  +  (area of the rectangle)

               =                 (27 units²)  +  (18 units²)  =  45 units²
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