base area of a cone is 38.5 cm and volume is 77 cm .find its height
Answers
Answered by
207
base area = πr² = 38.5 cm²
volume = (1/3)πr² ×h = 77 cm³
so, A/q
77 = (1/3) ×38.5×h
⇒h = (77×3)/38.5
= 6 cm
volume = (1/3)πr² ×h = 77 cm³
so, A/q
77 = (1/3) ×38.5×h
⇒h = (77×3)/38.5
= 6 cm
Answered by
152
Given base area of cone is 38.5 cm,
Volume is 77 cm³.
By the problem ,
22/7×r² = 38.5 cm
r² = 38.5×7/22
r² = 12.25
r = √12.25 = 3.5 cm
Now, 1/3 × 22/7 r²h = 77 cm³
⇒1/3×22/7×(3.5)²×h = 77
⇒22/21 × 12.25 × h = 77
⇒ h = 77×21/22× 1/12.25
⇒h = 6 cm
Volume is 77 cm³.
By the problem ,
22/7×r² = 38.5 cm
r² = 38.5×7/22
r² = 12.25
r = √12.25 = 3.5 cm
Now, 1/3 × 22/7 r²h = 77 cm³
⇒1/3×22/7×(3.5)²×h = 77
⇒22/21 × 12.25 × h = 77
⇒ h = 77×21/22× 1/12.25
⇒h = 6 cm
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