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The curve surface area of Right circular cylinder of height 40cm is 88 cm Square find the diameter of the base of the cylinder?
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The curve surface area of Right circular cylinder of height 40cm is 88...
The surface area of a right circular cylinder is given by the formula:
Surface area = 2πr^2 + 2πrh
Where r is the radius of the base of the cylinder, h is the height of the cylinder, and π (pi) is a mathematical constant approximately equal to 3.14.
If the surface area of a right circular cylinder is 88 cm^2 and the height is 40 cm, we can substitute these values into the formula to solve for the radius:
88 cm^2 = 2πr^2 + 2πrh
88 cm^2 = 2πr^2 + 2πr(40 cm)
88 cm^2 = 2πr^2 + 80πr
88 cm^2 - 80πr = 2πr^2
(88 cm^2 - 80πr)/2π = r^2
44 cm^2 - 40πr/2π = r^2
r^2 = 44 cm^2 - 40πr/2π
r^2 = 22 cm^2 - 20πr/π
r^2 = 22 cm^2 - 20r
r^2 + 20r - 22 cm^2 = 0
We can use the quadratic formula to solve for r:
r = (-20 +- √(400 + 880))/2
r = (-20 +- √1280)/2
r = (-20 +- 35.6)/2
The radius of the base of the cylinder is either 7.8 cm or -12.8 cm. However, the radius cannot be negative, so the radius must be 7.8 cm.
The diameter of the base of the cylinder is twice the radius, or 2 * 7.8 cm = 15.6 cm. Therefore, the diameter of the base of the cylinder is 15.6 cm.
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The curve surface area of Right circular cylinder of height 40cm is 88 cm Square find the diameter of the base of the cylinder?
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The curve surface area of Right circular cylinder of height 40cm is 88 cm Square find the diameter of the base of the cylinder? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The curve surface area of Right circular cylinder of height 40cm is 88 cm Square find the diameter of the base of the cylinder? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The curve surface area of Right circular cylinder of height 40cm is 88 cm Square find the diameter of the base of the cylinder?.
The curve surface area of Right circular cylinder of height 40cm is 88 cm Square find the diameter of the base of the cylinder? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The curve surface area of Right circular cylinder of height 40cm is 88 cm Square find the diameter of the base of the cylinder? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The curve surface area of Right circular cylinder of height 40cm is 88 cm Square find the diameter of the base of the cylinder?.
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