Q. 83.5( 2 Votes )

# The radii of the circular bases of a frustum of a right circular cone are 12 cm and 3 cm and the height is 12 cm. Find the total surface area and the volume of the frustum.

Answer :

Given: radius of bases of frustum = 12cm and 3cm and its height = 12cm

Let l be the slant height of the cone, then

⇒ l = 15cm

Total surface area of the frustum = π (r’ + r’’) × l + π r’^{2} + π r’’^{2}

= π (12 + 3) + π × (12^{2} + 3^{2})

= 378 cm^{2}

Volume =

= 756 π cm^{3}

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The radii of the circular bases of a frustum of a right circular cone are 12 cm and 3 cm and the height is 12 cm. Find the total surface area and the volume of the frustum.

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