Question

curved surface area of a cone is 251.2cm2 and the radius of its base is 8cm . Find its slant height

and perpendicular height
${pi=22/7}$
​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given:

• Curved surface area of a cone is 251.2cm2
• Radius of its base = 8cm

To find:

• Its slant height and perpendicular height?

Solution:

• Let's consider the perpendicular height and the slant height of the cone be hcm and Icm.

Where,

• Radius of the base of cone = 8cm
• Curved surface area of a cone =251.2cm²

• Let radius of cone be r cm.

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, By using surface area formula,

→ CSA = π × radius × l

→ 22/7 × 8 × l = 251.2

→ 22/7 × l = 251.2/8

→ 22/7 × l = 31.4

→ l = 31.4/22/7

→ l = 9.99

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, Let's Find slant height of the cone,

As we know that,

Slant height = r² + h² = l²

→ (8)² + h² = 10²

→ 64 + h² = 100

→ h² = 100 - 64

→ h² = 36

→ h = √36

→ h = 6cm

∴ Hence, Slant height of the cone is 10cm & perpendicular height of the cone is 6cm.