Question

Radius and slant height of a solid right circular cone are in the ratio 3:5. If the curved surface area is 60π cm square.find it's volume

Answer 1

Answer:

Step-by-step explanation:

given that

CSA of the cone = 2310

r:l = 3:5

r/l = 3/5

3l = 5r  -------------------------(1)

CSA of cone = 2310

πrl = 2310

rl = 2310×7/22

rl = 735

l = 735/r --------------------(2)

from (1) and (2)

3(735/r) = 5r

2205/r = 5r

2205 = 5r²

r² = 441

r = 21 cm    (proved)

from (1)

3l = 5(21)

3l = 105

l = 35 cm   (proved)

we have on relation between r, h , l.

l = √r²+h²

then

h = √l²-r²

h = √ (35)² - (21)²

h = √1225 - 441

h = √784

h = 28 cm    (proved).

Answer 2

Step-by-step explanation:

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