the base area of cone is 38.5 CM square its volume is 77 cm cube find its height
Answers
Answered by
132
Answer:
h = 6 cm
Step-by-step explanation:
Given, base area of cone = 38.5 cm².
⇒ πr² = 38.5
Given Volume = 77 cm
⇒ (1/3) * πr²h = 77
⇒ (1/3) * 38.5 * h = 77
⇒ 38.5 * h = 231
⇒ h = 6 cm.
Therefore, height = 6 cm.
Hope this helps!
Answered by
67
Answer:
6cm
Step-by-step explanation:
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
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