The surface area of the solid shape is the amount of space on it
The radius of the two cones is 2.93 cm
<h3>How to determine the radius?</h3>
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
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