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A sphere , a cylinder and a cone are of same radius and same height. What is the ratio of their curved surface area ? Explain ?

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Since, the height of a sphere is the diameter, the cone and cylinder have height 2r. Then Curved surface area of Sphere= 4πr^2Curved surface area of cylinder = 2πr(2r) = 4πr^2Curved surface area of cone = πrlwhere, l = √(r2 + h2 ) = √( r2 + (2r)^2) = √(5r^2) = r√5 ⇒ Curved surface area of cone = π√5r^2 Now, Ratio of CSA's a sphere ,cylinder and a cone = 4πr^2:2πrh : πrl= 4πr^2:4πr^2 : πr^2√5= 4 : 4 : √5?

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A sphere , a cylinder and a cone are of same radius and same height. What is the ratio of their curved surface area ? Explain ? for Class 9 2023 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A sphere , a cylinder and a cone are of same radius and same height. What is the ratio of their curved surface area ? Explain ? covers all topics & solutions for Class 9 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sphere , a cylinder and a cone are of same radius and same height. What is the ratio of their curved surface area ? Explain ?.
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Since, the height of a sphere is the diameter, the cone and cylinder have height 2r. Then Curved surface area of Sphere= 4πr^2Curved surface area of cylinder = 2πr(2r) = 4πr^2Curved surface area of cone = πrlwhere, l = √(r2 + h2 ) = √( r2 + (2r)^2) = √(5r^2) = r√5 ⇒ Curved surface area of cone = π√5r^2 Now, Ratio of CSA's a sphere ,cylinder and a cone = 4πr^2:2πrh : πrl= 4πr^2:4πr^2 : πr^2√5= 4 : 4 : √5?