Question

cone has radius=5cm and csa= 1430/7 cm^2 find the volume

Answer 1

FINAL ANSWER:

volume of cone is 100 cm³

GIVEN:

radius r =5cm

CSA= $\frac{1430}{7}$ cm²

TO FIND:

to find the volume of cone

FORMULA USED:

CSA= π×r×l

V=$\frac{1}{3}$×r²×h

l²=h²+r²

SOLUTION:

first to find l , we use

CSA= π×r×l

$\frac{1430}{7}$=$\frac{22}{7}$×5×l

l = $\frac{1430*7}{7*22*5}$

l = 13 cm

l²=h²+r²

13²=h²+5²

169=h²+25

h²=169-25

h²=144

h =√144

h = 12 cm

∴ V=$\frac{1}{3}$×r²×h

V=$\frac{1}{3}$×5×5×12

V=$\frac{300}{3}$

V=100 cm³

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Answer 2

Step-by-step explanation:

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