SOLUTION: From a cylindrical object of diameter 70cm and height 84cm a right solid cone having is base as one of circular ends of the cylinder and with height 84cm is removed.calculate the a

Algebra.Com
Question 1166470: From a cylindrical object of diameter 70cm and height 84cm a right solid cone having is base as one of circular ends of the cylinder and with height 84cm is removed.calculate the area of the remaining solid object and calculate the remaining solid object (take pia radius to be 22/7)
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
From a cylindrical object of diameter 70cm and height 84cm a right solid cone having is base as one of circular ends of the cylinder and with height 84cm is removed.calculate the area of the remaining solid object and calculate the remaining solid object (take pia radius toOOps
Deleted as error pointed out by@Ikleyn. Thanks

Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.
From a cylindrical object of diameter 70cm and height 84cm a right solid cone having its base
as one of circular ends of the cylinder and with height 84cm is removed.
calculate the area of the remaining solid object (take pia radius to be 22/7)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


        Calculations of the area in the post by @mananth are  INCORRECT,
        since he includes the base area thrice and subtracts the lateral area of the cone,
        while it should be added.

        I came to provide correct calculations.


Surface area of the remaining solid consists of three parts: the base of the cylinder,
the lateral surface area of the cylinder and the lateral surface area of the cone.


Area of the base             =    =     =  3850 cm^2.

Lateral area of the cylinder =  =  = 18480 cm^2.

Lateral area of the cone     =    =  = 10010 cm^2.


Now the surface area of the remaining solid is  the sum

    3850 + 18480 + 10010 = 32340 cm^2.    ANSWER

Solved (correctly).



RELATED QUESTIONS

From a cylindrical object of diameter 70cm and height 84cm, a right solid cone having its (answered by greenestamps)
From a cylindrical object of diameter 70cm and height 84cm, a right solid cone having its (answered by math_tutor2020)
From a cylindrical object of diameter 70cm and height 84cm , a right solid cone having... (answered by Alan3354)
From a cylindrical object of diameter 70cm and height 84cm, a right solid cone having its (answered by Alan3354)
The height of a right circular cone is 24 inches and the radius of the base is 6 inches.... (answered by josgarithmetic)
A hole 10 cm in diameter is to be punched out from a right circular cone (base on top)... (answered by greenestamps)
The altitude of a right circular cone is 15 and the radius of its base is 8. A... (answered by josgarithmetic)
Please help me with this Calculus II problem: Use cylindrical shells to find the... (answered by solver91311)
A solid cone has a circular base of diameter 10cm and a total surface area of 285cm. Find (answered by amarjeeth123,MathTherapy,greenestamps)