A toy is in the shape of a right circular cylinder with hemisphere on one end
and a cone on the other. The height and radius of cylindrical part are 16 cm
and 6 cm respectively. The radii of the hemispherical and conical parts are
same as that of the cylindrical part. Calculate the surface area and the volume
of the toy. If the height of conical part is 8 cm.
Answers
Answer:
A toy is in the shape of a right circular cylinder with hemisphere on one end
and a cone on the other. The height and radius of cylindrical part are 16 cm
and 6 cm respectively. The radii of the hemispherical and conical parts are
same as that of the cylindrical part. Calculate the surface area and the volume
of the toy. If the height of conical part is 8 cm.
Step-by-step explanation:
Height of the cylindrical part =13cm
Radius of cone , cylinder and hemi sphere=5cm
r=5cm for hemisphere cylinder and cone.
Height of cone h=30−5−13=12
The area of canvas required=Surface area of hemishphere,cylinder and cone parts of tent
A=2πr
2
+2πrH+πr(
h
2
+r
2
)
A=2π×5×5+2π×5×13+π×5(
5
2
+12
2
)
A=770cm
2
Step-by-step explanation:
Height of the cylindrical part =13cm
Radius of cone , cylinder and hemi sphere=5cm
r=5cm for hemisphere cylinder and cone.
Height of cone h=30−5−13=12
The area of canvas required=Surface area of hemishphere,cylinder and cone parts of tent
A=2πr
2
+2πrH+πr(
h
2
+r
2
)
A=2π×5×5+2π×5×13+π×5(
5
2
+12
2
)
A=770cm
2