Important questions on Surface Area Of Right Circular Cylinders And Cones

HARD

A metal pipe is 77cm77 cm long. The inner diameter of a cross-section is 4cm4 cm, the outer diameter being 4.4cm4.4 cm, then find its total surface area.

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HARD

A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio $8:5$, show that the radius of each is to the height of each as $3:4$.

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HARD

The diameter of a cylinder is $28cm$ and its heights is $40cm$. Find the curved surface area, total surface area and the volume of the cylinder.

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HARD

The thickness of a hollow metallic cylinder is 2 cm. It is 70 cm long with outer radius of 14 cm. Find the volume of the metel used in making the cylinder assuming that it is open at both the ends Also find its weight if the metal weighdds 8 g per cm3.

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HARD

A metal pipe is 77cm77 cm long. The inner diameter of a cross-section is 4cm4 cm, the outer diameter being 4.4cm,4.4 cm then find its outer curved surface area.

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HARD

If radii of two cylinders are in the ratio $4:3$ and their heights are in the ratio $5:6$, find the ratio of their curved surfaces.

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HARD

What length of solid cylinder $2$ cm in diameter must be taken to cast into a hollow cylinder of external diameter $12$ cm, $0.25$ cm thick and $15$ cm long ?

A

$44.0123$ cm

B

$42.3215$ cm

C

$44.0625$ cm

D

$44.6023$ cm

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HARD

The diameter of a garden roller is $1.4m$ and it is $2m$ long. How much area will it cover in $5$ revolution?