A toy is in the form of a cone mounted on a cone frustum If the radius of the - Maths - Surface Areas and Volumes

Question

A toy is in the form of a cone mounted on a cone frustum If the
radius of the top and bottom are 14 cm and 7 cm and the height of
cone and toy are 5 5 cm and 10 5 cm respectively, find the volume
of the toy

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_569a4e782c7ff%20png">
We have,Height of the cone, H=5
5 cm, radius of base of cone, R=14 cm,Radii of bases of frustum of cone, r=7 cm and R=14 cm, Height of the frustum=5cmVoume of the toy=Volume of the cone+Volume of the frustum=13πR2H+13πhR2+r2+rR=13×227×142×5
5+13×227×5×142+72+7×14=13×227×72×522×1
1+22+11+1×2=13×227×72×5×11
4=2926 cm3
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A toy is in the form of a cone mounted on a cone frustum. If the radius of the top and bottom are 14 cm and 7 cm and the height of cone and toy are 5.5 cm and 10.5 cm respectively, find the volume of the toy.