MHB Calculate Volume & Surface Area of a Cylinder Without Lid

AI Thread Summary
To calculate the volume and surface area of a cylinder without a lid, the formulas used are different from those for a closed cylinder. The volume is determined using the formula V = πr²h, where r is the radius and h is the height. For the surface area, the formula is A = πr(h + r), accounting for the curved surface and the base only. There was confusion regarding the need for an image to visualize the cylinder, as some participants noted that no image was posted. Clear communication of the shape is essential for accurate calculations.
Abdullah Qureshi
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how to find volume and surface area of this without using the upper lid
 
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Of what ?
 
kaliprasad said:
Of what ?
how to calculate
 
Abdullah Qureshi said:
how to calculate

did you post an image? if you tried, it's not showing up.
 
Are we expected to use our imagination to come up with a shape to find the surface area and volume of?

1628327707615.png
 

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Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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