Question
Download Solution PDFFind the curved surface area (in cm2) of a cone of radius 3 cm and height 4 cm.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius (r) = 3 cm
Height (h) = 4 cm
Formula Used:
Curved Surface Area (CSA) of a cone = πrl
Where, l = slant height = \( \sqrt{ r^2 + h^2 } \)
Calculation:
l = \( \sqrt{ 3^2 + 4^2 } \)
⇒ l = \( \sqrt{ 9 + 16 } \)
⇒ l = \( \sqrt{ 25 } \)
⇒ l = 5 cm
CSA = π × r × l
⇒ CSA = π × 3 × 5
⇒ CSA = 15π cm2
∴ The correct answer is option 3.
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