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Find the total surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.
- a)2200
- b)2080
- c)1920
- d)2288
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Find the total surface area (in cm2) of a right circular cylinder of d...
Diameter = 28 & height = 12
So, r = 28/2 = 14
So, r = 28/2 = 14
We know, total surface area of a right circular cylinder of diameter = 2r (r + h)
∴ Total surface area of right circular cylinder = 2 × 22/7 × 14 × (14 + 12) = 2288 cm2
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Find the total surface area (in cm2) of a right circular cylinder of d...
Calculation of Total Surface Area of a Right Circular Cylinder
To find the total surface area of a right circular cylinder, we need to consider the curved surface area and the area of the two circular bases.
Given dimensions:
Diameter (d) = 28 cm
Height (h) = 12 cm
Calculating the radius (r) of the cylinder:
Radius (r) = Diameter / 2
r = 28 cm / 2
r = 14 cm
Calculating the curved surface area:
Curved Surface Area = 2 * π * r * h
Curved Surface Area = 2 * 3.14 * 14 cm * 12 cm
Curved Surface Area = 2 * 3.14 * 168 cm2
Curved Surface Area = 1056.96 cm2
Calculating the area of the two circular bases:
Area of a circle = π * r2
Area of one base = 3.14 * 14 cm * 14 cm
Area of one base = 3.14 * 196 cm2
Area of one base = 615.44 cm2
Area of two bases = 2 * 615.44 cm2
Area of two bases = 1230.88 cm2
Calculating the total surface area:
Total Surface Area = Curved Surface Area + Area of two bases
Total Surface Area = 1056.96 cm2 + 1230.88 cm2
Total Surface Area = 2287.84 cm2
Therefore, the total surface area of the right circular cylinder is approximately 2288 cm2, which corresponds to option 'D'.
To find the total surface area of a right circular cylinder, we need to consider the curved surface area and the area of the two circular bases.
Given dimensions:
Diameter (d) = 28 cm
Height (h) = 12 cm
Calculating the radius (r) of the cylinder:
Radius (r) = Diameter / 2
r = 28 cm / 2
r = 14 cm
Calculating the curved surface area:
Curved Surface Area = 2 * π * r * h
Curved Surface Area = 2 * 3.14 * 14 cm * 12 cm
Curved Surface Area = 2 * 3.14 * 168 cm2
Curved Surface Area = 1056.96 cm2
Calculating the area of the two circular bases:
Area of a circle = π * r2
Area of one base = 3.14 * 14 cm * 14 cm
Area of one base = 3.14 * 196 cm2
Area of one base = 615.44 cm2
Area of two bases = 2 * 615.44 cm2
Area of two bases = 1230.88 cm2
Calculating the total surface area:
Total Surface Area = Curved Surface Area + Area of two bases
Total Surface Area = 1056.96 cm2 + 1230.88 cm2
Total Surface Area = 2287.84 cm2
Therefore, the total surface area of the right circular cylinder is approximately 2288 cm2, which corresponds to option 'D'.
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Find the total surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.a)2200b)2080c)1920d)2288Correct answer is option 'D'. Can you explain this answer?
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Find the total surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.a)2200b)2080c)1920d)2288Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Find the total surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.a)2200b)2080c)1920d)2288Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the total surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.a)2200b)2080c)1920d)2288Correct answer is option 'D'. Can you explain this answer?.
Find the total surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.a)2200b)2080c)1920d)2288Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Find the total surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.a)2200b)2080c)1920d)2288Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the total surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.a)2200b)2080c)1920d)2288Correct answer is option 'D'. Can you explain this answer?.
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