Question

the base area of cone is 38.5 CM square its volume is 77 cm cube find its height

Answer 1

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!

Answer 2

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