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A sphere, a cylinder and a cone are of t...

A sphere, a cylinder and a cone are of the same radius and same height. Find the ratio of their curved surface.

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To find the ratio of the curved surface areas of a sphere, a cylinder, and a cone that have the same radius (R) and height (H), we will follow these steps: ### Step 1: Identify the dimensions Let the radius of the sphere, cylinder, and cone be \( R \). Since the sphere has a height of \( 2R \), the height of the cylinder and cone will also be \( 2R \). ### Step 2: Calculate the curved surface area of the sphere The formula for the curved surface area (CSA) of a sphere is: \[ ...
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RD SHARMA ENGLISH-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
  1. A sphere of diameter 6cm is dropped in a right circular cylindrical...

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  2. A solid lead ball of radius 7cm was melted and then drawn into a wi...

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  3. A sphere, a cylinder and a cone are of the same radius and same hei...

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  4. Find the surface area and total surface area of a hemisphere of rad...

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  5. Find the surface area of a sphere of radius 7cm.

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  6. The internal and external diameters of a hollow hemispherical vesse...

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  7. The internal and external diameters of a hollow hemi-spherical vesse...

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  8. A right circular cylinder just encloses a sphere of radius r as show...

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  9. Show that the surface area of a sphere is the same as that of the l...

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  10. A cone, a hemisphere and a cylinder stand on equal bases and have t...

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  11. The largest sphere is carved out of a cube of side 10.5 cm. Find the...

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  12. If the radius of a sphere is doubled, what is the ratio of the volu...

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  13. A spherical ball of lead 3cm in diameter is melted and recast into t...

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  14. Find the surface area of a sphere of radius 7cm.

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  15. Find the total surface area of a hemisphere of radius 21cm.

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  16. The radius of a spherical balloon increases from 7cm to 14cm as air is...

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  17. A sphere, a cylinder and a cone are of the same radius and same hei...

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  18. Show that the surface area of a sphere is the same as that of the l...

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  19. A right circular cylinder just encloses a sphere of radius r as sho...

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  20. A hemispherical bowl is made of steel, 0.25 cm thick. The inner rad...

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