Question

Find the slant and vertical height of a gone with radius 5.6cm and curved surface area 158.4cm

Answer 1

Answer:

• Slant height of the cone = 9 cm (Approx).
• Vertical Height of the cone = 7.04 cm.

Step-by-step explanation:

Given:

• Radius of cone = 5.6 cm
• Curved surface area of cone = 158.4 cm

To Find:

• Slant Height of the cone (l).
• Vertical Height of the cone (h).

First we will slant height of the cone.

⇒ Curved surface area of cone = πrl

⇒ 158.4 = 3.14 × 5.6 × l

⇒ 158.4 = 17.58 l

⇒ l = 158.4/17.58

⇒ l = 9 cm (Approx)

So, slant height of the cone = 9 cm (Approx).

Now, we will calculate vertical height.

⇒ l² = r² + h²

⇒ (9)² = (5.6)² + h²

⇒ 81 = 31.36 + h²

⇒ 81 - 31.36 = h²

⇒ 49.64 = h²

⇒ h = 7.04 cm

Hence, Vertical Height of the cone = 7.04 cm.

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