Math, asked by arunkashy4, 5 months ago

what will be radius of base of a cone wohose height is 6m and slant height is 10m ?

Answers

Answered by Champion55
4

Given :

⬤ Height of Cone is 6 m .

⬤ Slant Height of Cone is 10 m .

To Find :

⬤ Radius of Base of a Cone .

Formula Used :

\bf[\:{{(l)}^{2}={(h)}^{2}+{(r)}^{2}}\:]

  • l = Slant Height
  • h = height
  • r = radius

Solution :

  • Height (h) = 6 m.
  • Slant Height (l) = 10 m.

According to the Formula :-

(l)² = (h)² + (r)²

(10)² = (6)² + r²

(10×10) = (6×6) + r²

100 = 36 + r²

100 - 36 = r²

64 = r²

√64 = r

8 = r

Therefore , The Radius of Base of a Cone is 8 m .

Answered by BrainlyHero420
49

Answer:

Given :-

  • A cone whose height is 6 cm and slant height is 10 m.

To Find :-

  • What is the radius of a cone.

Formula Used :-

By using Phythagorus Theorem we know that,

\boxed{\bold{\large{{(l)}^{2} =\: {(r)}^{2} +\: {(h)}^{2}}}}

where,

  • r = Radius
  • h = Height
  • l = Slant Height

Solution :-

Given :

  • Height = 6 cm
  • Slant height = 10 cm

According to the question by using the formula we get,

(10)² = (r)² + (6)²

100 = (r)² + 36

- (r)² = 36 - 100

- (r)² = - 64

- r = √- 64

- r = - 8

r = 8

\therefore The radius of a cone is 8 cm .

\rule{300}{1.5}

Let's Verify :-

(l)² = (r)² + (h)²

Put r = 8 we get,

(10)² = (8)² + (6)²

100 = 64 + 36

100 = 100

LHS = RHS

Hence, Verified

Similar questions