A right cone has a surface area of 628 cm squared and a diameter of 10cm what is the slant length
1 answer:
Answer:
slant length = 35 cm
Step-by-step explanation:
A right cone has the vertex directly above the center of the base . The surface area of the right cone can be represented below.
surface area = πr(r + l)
where
r = radius
l = slant height/length
surface area = πr(r + l)
r = 10/2 = 5 cm
surface area = 628 cm²
Therefore,
628 = π × 5(5 + l)
628 = 5π(5 + l)
628 = 25π + 5πl
628 = 25 × 3.14 + 5 × 3.14 × l
628 = 78.5 + 15.7l
628 - 78.5 = 15.7l
549.5 = 15.7l
divide both sides by 15.7
l = 549.5/15.7
l = 35 cm
slant length = 35 cm
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