Respuesta :
Answer:
The height of the conical oil cup is 2.102 cm
Step-by-step explanation:
Given as for a conical cup :
The radius of the conical oil cup = r = 5.6 cm
The volume of the conical oil cup = v = 69 cubic cm
Or, v = 69 cm³
Now, ∵ The volume of cone = [tex]\frac{1}{3}[/tex]×[tex]\pi[/tex]×r²×h
Where r is the radius of the cone
And h is the height of the cone
The value of [tex]\pi[/tex] = 3.14
So, The volume of conical oil cup = The volume of cone = [tex]\frac{1}{3}[/tex]×[tex]\pi[/tex]×r²×h
Or, The volume of conical oil cup = [tex]\frac{1}{3}[/tex] × 3. 14 × (5.6)² × h
Or, 69 cm³ = [tex]\frac{1}{3}[/tex] × 98.47 × h
Or, 69 cm³ = 32.823 cm² × h
∴ h = [tex]\frac{69}{32.823}[/tex]
I,e h = 2.102 cm
So, height of cup is 2.102 cm
Hence The height of the conical oil cup is 2.102 cm , Answer
