Question

in a cone,if radius log 7 base 7 ,slant height=log 0.1base 0.01 then find its height.

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Answer 1

The height of the cone is 3 units.

Step-by-step explanation:

The slant height is given by the formula:

l = √(r² + h²)

l² = r² + h²

Where,

l = Slant height = log₀₁0.01 = 2

r = Radius = log₇7 = 1

h = Height

On substituting the values, we get,

4 = 1 + h

h = 4 - 1

h = 3

∴ Height of the cone = 3 units

Answer 2

Step-by-step explanation:

Given In a cone,if radius log 7 base 7 ,slant height=log 0.1base 0.01 then find its height.

• In a cone, the radius is log 7 to base 7 and log 7 to base 7 is 1 and so r = 1.
• Also slant height is log 0.1 to base 0.001
• So let log 0.1 to base 0.01 = x
• Now 0.01^x = 0.1
• Or (10^-2)^x = 10^-1
• Or – 2x = - 1
• Or x = ½ and so slant height l = ½
• Now slant height l^2 = r^2 + h^2
•                            (1/2)^2 = 1^2 + h^2
•                            ¼ = 1 + h^2
•                 Or ¼ - 1 = h^2
•           Or h ^2 = - ¾
•        Or h = √- ¾
•       Or h = - 0.86  units

Reference link will be

https://brainly.in/question/7251087