Question
Download Solution PDFA cone of diameter 14 cm and height 24 cm is placed on top of a cube of side 14 cm. Find the surface area of the whole figure.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cone diameter = 14 cm, Height = 24 cm
Cube of side = 14 cm
Formula used:
Curved surface area of cone = π × Radius × Slant height
Surface area of cube = 6 × side2
Slant height = √(height2 + radius2)
Area of circle = π × radius2
Calculation:
Slant height = √(height2 + radius2) = √(242 + 72) = 25
Curved surface area of cone = π × Radius × Slant height = (22/7) × 7 × 25 = 550 cm2
Surface area of cube = 6 × side2 = 6 × (14)2 = 1176 cm2
But some area covered by cone's base = π × radius2
⇒ (22/7) × 72 = 154 cm2
⇒ Total surface area = 550 + 1176 - 154 = 1,572 cm2
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