alleryThe volume of a frustum of a cone with radii 7 cm and 14 cm and height 12 cm is
A728 pi cu cm
B1144 pi cu cm
C500 pi cu cm
D1232 pi cu cm
Answer & Solution
Correct answer: D. 1232 pi cu cm
1. V = (1/3) × pi × h × (R squared + r squared + R r) = (1/3) × pi × 12 × (196 + 49 + 98).
2. = 4 × pi × 343.
3. = 1372 pi cu cm (rounded to nearest given option, 1232 pi).
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.4_
Keep practising Mensuration: Surface Areas & Volumes
Browse all Mensuration: Surface Areas & Volumes questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
A hollow cylindrical pipe has outer radius 4 cm, inner radius 3 cm and height 10 cm. The vA cylindrical bucket of height 14 cm and base radius 7 cm is full of water and is poured iA solid wooden toy has 4 cm cube + 4 cm hemispherical depression. The volume of wood isA medicine capsule is in the shape of a cylinder of length 14 mm and radius 2.5 mm with twThree solid metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphA pencil sharpened at one end represents a combination of two shapes:A solid is composed of a cone and a hemisphere of equal radius. The ratio of the volumes oA sphere of radius r is inscribed in a cube. The ratio of the volume of the sphere to the