Correct Answer - Option 1 : C
2H
2
Given:
H is the height of the cone
C is the curved surface area of the cone
V is the volume of the cone
Formula used:
The volume of cone = (πr2H/3)
The curved surface area of cone = πrl
Calculation:
Now we have to find the value of 3πVH3 + 9V2
⇒ 3V(πH3 + 3V)
Now, we substitute the value of V
⇒ 3 × (1/3) × πr2 × H(πH3 + 3 × (1/3) × πr2× H)
⇒ πr2H(πH3 + πr2H)
⇒ π2r2H2(H2 + r2)
⇒ π2r2l2H2
⇒ C2H2
∴ The value of 3πVH3 + 9V2 is C2H2