plzzz help meee plzz
Attachments:
Answers
Answered by
0
Answer:
Step-by-step explanation:
given that
CSA of the cone =423.9
r:l = 3:5
r/l = 3/5
3l = 5r -------------------------(1)
CSA of cone = 423.9
πrl = 423.9
rl = 423.9×3.14
rl = 1331.046
l = 1331.046/r --------------------(2)
from (1) and (2)
3(1331.046/r) = 5r
3993.138/r = 5r
3993.138 = 5r²
r² = 3993.138/5=798.6276
r = 28.26 cm (proved)
from (1)
3l = 5(28.26)
3l = 141.3
l = 141.3/3 cm
= 47.1
we have on relation between r, h , l.
l = √r²+h²
then
h = √l²-r²
h = √ (47.1)² - (28.26)²
h = √2218.41 - 798.6276
h = √1419.7824
h = 37.68 cm
so the volume = πr^2*h/3
= 3.14*798.6276*37.68/3= 31512.57027
Similar questions