the radius and the height of a cone are in the ratio 4:3, the volume of cone is 269 1/2 - Maths - Surface Areas and Volumes

Question

the radius and the height of a cone are in the ratio 4:3, the
volume of cone is 269 1/2 find its curve surface area

Neha Sethi · Accepted Answer

Dear student
Let radius =4xand height =3xVolume of cone=13πr2hAlso, Volume of cone=26912 unit cube5392=13πr2h5392=13×227×4x2×3x539×212×22=48x334364=x3So, x=74 unitSo, Radius=4x=4×74=7 unitheight=3x=3×74=214 unit
Now, slant heigth l=h2+r2=2142+72=44116+49=354 unit
We know that curve surface area of cone=πrl=227×7×354=3852 unit cube
Regards

the radius and the height of a cone are in the ratio 4:3, the volume of cone is 269 1/2. find its curve surface area