The height of a conical tank is 15 m. A vertical pole of height 12 m is placed 4 m away from its centre such that it touches its surface. From the given statement which of the following can be determined A. Radius of the base of the cone. B. Lateral height of the cone. C. Surface area of the base of the cone. D. Volume of the cone.?

Only A and C
Only B and C
All of them
Only A, C and D
Only A and D

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : All of them

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Suppose the radius of the cone is ‘R’ cm;

In the figure:

Triangles AEF and ABC are the similar triangle;

∴ AE/AB = EF/BC

⇒ 3/15 = 4/R

⇒ R = 20 cm

∴ Radius of the base of the cone = 20 cm

∴ Lateral height = √(20²+ 15²) = √625 = 25 cm

Now we have radius of base, height and lateral height: we can determine the surface area and Volume too.

∴ All the values can be determined.

4 views Answered 2022-09-04 04:29

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