The volume and curved surface area of a cone are same. If the product of radius and height of the cone is 36 cm, then the slant height of the cone is: About the author Jade
Answer: The slant height of the cone is 12 cm. Step-by-step explanation: Given that: The volume and curved surface area of a cone are same. The product of radius and height of the cone is 36 cm. To Find: The slant height of the cone. Finding the slant height of the cone: Volume of a cone = Curved surface area of a cone ⟶ (πr²h)/3 = πrl ⟶ πr²h = 3πrl Cancelling π and r both sides. ⟶ rh = 3l ⟶ 36 = 3l [Given] ⟶ l = 36/3 ⟶ l = 12 ∴ The slant height of the cone = 12 cm Reply
Answer: From given information [tex] \frac{\pi \: {r}^{2} h}{3} = \pi \: rl[/tex] [tex]rh = 3l[/tex] [tex]36 = 3l[/tex] [tex]l = 12[/tex] Reply
Answer:
The slant height of the cone is 12 cm.
Step-by-step explanation:
Given that:
The volume and curved surface area of a cone are same.
The product of radius and height of the cone is 36 cm.
To Find:
The slant height of the cone.
Finding the slant height of the cone:
Volume of a cone = Curved surface area of a cone
⟶ (πr²h)/3 = πrl
⟶ πr²h = 3πrl
Cancelling π and r both sides.
⟶ rh = 3l
⟶ 36 = 3l [Given]
⟶ l = 36/3
⟶ l = 12
∴ The slant height of the cone = 12 cm
Answer:
From given information
[tex] \frac{\pi \: {r}^{2} h}{3} = \pi \: rl[/tex]
[tex]rh = 3l[/tex]
[tex]36 = 3l[/tex]
[tex]l = 12[/tex]