A right angled triangle whose sides are 3cm 4cm and 5 cm is revolved about the sides containing the ...........

Quantitative Aptitude ( CCS) Mensuration 3D

A right angled triangle whose sides are 3cm, 4cm and 5 cm is revolved about the sides containing the right angle in two ways. Find the difference in volumes of the two cones so formed. Also find the curved surfaces?

15π cm²

12π cm²

13π cm²

11π cm²

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Explanation:

Given:
I>
Radius of the cone = 4 cm
Height of the cone = 3 cm
Slant height of the cone = 5 cm
Volume of the cone = (1/3)×∏×r²×h
= (1/3)×∏×4²×3
= 16π cm³
II>
Radius of the second cone = 3 cm
Height of the cone = 4 cm
Slant height of the cone = 5 cm
Volume of the cone = (1/3)×∏×r²×h
= (1/3)×∏×3²×4
=12π cm³
Difference of the volumes of two cone = (16-12) πcm³
=4π cm³
Curved surface area of the first cone = π r₁ l₁
= π * 4 * 5 cm²
=20π cm²
Curved surface area of the second cone = π r₂l₂
=π * 3 * 5 cm² =15π cm²