given that altitude is 20 cm and radius of base is 10 cm.
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Edit: Corrected an error calculating the volume:
Same as as a regular cylinder, except the perpendicular height must be used or use the formula:
V = π r² h sin(θ)
= π * 100 * 20 * sin(45)
= 1000√2 π cm³
≈ 4442.88 cm³
Same as as a regular cylinder, except the perpendicular height must be used or use the formula:
V = π r² h sin(θ)
= π * 100 * 20 * sin(45)
= 1000√2 π cm³
≈ 4442.88 cm³
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Draw a sketch of your leaning tower (skewed) cylinder, and draw a height line ( call it h) from the outside of the top skew to the base. Also draw a "center" line inside the cylinder, from the midpoint of the cylinder at the base to the midpoint at the top. Call this X.
Looking at the right triangle created by X and h, how would you describe the angle (theta) between X and h?
X = h / cos (theta)
So, if the Volume of a normal cylinder is
V = (pi) r^2 * h
then the volume of a skewed cylinder is
V = (pi) r^2 * h * sec ( theta)
Looking at the right triangle created by X and h, how would you describe the angle (theta) between X and h?
X = h / cos (theta)
So, if the Volume of a normal cylinder is
V = (pi) r^2 * h
then the volume of a skewed cylinder is
V = (pi) r^2 * h * sec ( theta)