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A solid shape is made by joining two cones.
Each cone has the same radius.
One cone has
slant height = 2 × radius
The other cone has slant height = 3 × radius
The total surface area of the shape is 135. 21 cm²
Curved surface area of a cone = tırl where r is the radius and / is the slant height
Work out the radius. ​

Respuesta :

MrRoyal

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

How to determine the radius?

The given parameters are:

  • Cone 1: slant height, l = 2r
  • Cone 2: slant height, L = 3r
  • Surface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

https://brainly.com/question/6613758

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