A wooden article was made by scooping out a hemisphere from one end and the cone from the other end as shown in the figure.If the height of the cylinder is 40 cm, radius of the cylinder is 7 cm and height of the cone is 24 cm,then find the volume and total surface area of the article

Explanation

Volume of article=volume of cylinder-(volume of cone+volume of hemisphere)

Volume of cylinder=>`pir^2h=22/7xx7xx7xx40=6160(cm)^2`

volume of hemisphere=`2/3pir^3=2/3xx22/7xx7xx7xx7=718.6(cm)^3`

volume of cone=`1/3pir^2h=1/3xx22/7xx7xx7xx24=1232(cm)^3`

Volume of article=`(6160-718.6-1232)=4209.4(cm)^3`

Total surface area=Curved surface area of (cone+cylinder+hemisphere)`pirl+2pirh+2pir^2=>pi(7xx25+2xx7xx40+2xx49)`

=>Answer=`2618(cm)^2`