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A solid cone is carved out of a solid cylinder , find the volume and outer surfacearea of the resulting solid . The cone and cylinder have equal dimensions ,height = 20 cm Radius =10 cm ( take π = 3.1 ) |
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Answer» Answer: ANSWER Volume of remaining solid = volume of cylinder - volume of CONE. r=5 cm (given) h=12 cm Volume of cylinder = πr h =3.14×5 2 ×12 =942cm 2
Volume of cone = 3 1
πr 2 h= 3 1
×3.14×5 2 ×12 =314cm 3
Remaining volume = 942-314 =628cm 3
Total surface of remaining solid = conical sutface AREA of cone + Area of circle + CYLINDRICAL area of cylinder. Conical sutface area of cone =πr r 2 +h 2
=204.203 cm 2
Conical of cirle = πr 2 =78.54cm 2
Cylindrical area of cylinder = 2πrh =376.8cm 2
Total surface area 659.543cm 2 |
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