A wooden article was made by scooping out a hemisphere from one end of

1.	A wooden article was made by scooping out a hemisphere from one end of a cylinder and acone from other end as shown in the figure. If the height of cylinder is 40em, radius is 7em andheight of cone is 24cm, find the volume of wooden article.40)
Answer» Lateral height of cone = √(7²+24²) = 25 cm Surface Area of Article = CSA of Cylinder + CSA of Cone + CSA of Cone = 2π740 + π725 + 2π7² =2618 sq cm Volume of article = Volume of cylinder - [Volume of cone + volume of hemisphere] = π7²40 - [(1/3)π7²24 + (2/3)π7³] = 12628/3 cubic cm Like my answer if you find it useful!

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

Answer»

Lateral height of cone = √(7²+24²) = 25 cm

Surface Area of Article = CSA of Cylinder + CSA of Cone + CSA of Cone

= 2π*7*40 + π*7*25 + 2π*7²

=2618 sq cm

Volume of article = Volume of cylinder - [Volume of cone + volume of hemisphere]

= π*7²*40 - [(1/3)π*7²*24 + (2/3)π*7³]

= 12628/3 cubic cm

Like my answer if you find it useful!