Home › UP Board Class 10 › Mathematics › Surface Areas and Volumes › The volume of a frustum of a cone with radii 7 c…
The 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: NCERT Class 10 Mathematics, Ch 12 "Surface Areas and Volumes", §12.4_
Related questions
Painting the outside of a toy needs to be worked out from its:Breaking a hard problem into solved smaller ones is the method:A cylindrical tube with a rounded end is a cylinder with a:Pouring a liquid into a container of another shape keeps its:Joining two solids at their flat faces hides those faces:Which solid is not among the basic ones met earlier?The word frustum comes from Latin, meaning a piece:The two circular ends of a frustum have radii that are: