The material of solid cone is converted i… | Answer

Subject

Quantitative Aptitude

Topic

Mensuration

The material of solid cone is converted into the shape of solid cylinder of equal radius. If the height of the cylinder is 6 cm, what is the height of the cone?
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ক)

10 cm

খ)

30 cm

গ)

15 cm

ঘ)

5 cm

ঙ)

18 cm

Explanation

Since radius of the solid cone is equal to the radius of the solid cylinder and height of the cylinder (h) given is 6 cm ∴ Volume of the solid cone is given by

= \frac{1}{3}\pi {R^2}h

∴ Volume of the solid cylinder is given by

= \pi {r^2}h

Since material of solid cone is converted into the shape of solid cylinder ∴ Volume of the solid cone = Volume of the solid cylinder

\therefore {\rm{\;}}\frac{1}{3}\pi {R^2}H = {\rm{\;}}\pi {r^2}h{\rm{\;}}

[∵ R = r] ∴ H = 3h ∴ H = 3 × 6 =18 cm ∴ Height of the cone (h) = 18 cm

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The material of solid cone is converted into the shape of solid cylinder of equal radius. If the height of the cylinder is 6 cm, what is the height of the cone?Reading

The material of solid cone is converted into the shape of solid cylinder of equal radius. If the height of the cylinder is 6 cm, what is the height of the cone?

Explanation

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The material of solid cone is converted into the shape of solid cylinder of equal radius. If the height of the cylinder is 6 cm, what is the height of the cone?
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