9.A solid wooden toy is in the shape of a right circular cone mounted

1.	9.A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. Ifthe radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 em, find thevolume of the wooden toy
Answer» V = (4/3)πr³So the volume of a hemisphere will be half of that, which is (2/3)πr³ The volume of a cone of base radius r and height h is:V = (1/3)πr²h We are told that r = 4.2 cm The total height of the toy is made up of (the height of the cone) + (height of hemisphere)So the height of the cone = 10.2 - 4.2 = 6 cm So the volume of the toy = (volume of hemisphere + volume of cone)= (2/3)π * 4.2³ + (1/3)π * 4.2² * 6= 155.2 cm³ + 110.8 cm³= 266 cm³

9.A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. Ifthe radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 em, find thevolume of the wooden toy

Answer»

V = (4/3)πr³So the volume of a hemisphere will be half of that, which is (2/3)πr³

The volume of a cone of base radius r and height h is:V = (1/3)πr²h

We are told that r = 4.2 cm

The total height of the toy is made up of (the height of the cone) + (height of hemisphere)So the height of the cone = 10.2 - 4.2 = 6 cm

So the volume of the toy = (volume of hemisphere + volume of cone)= (2/3)π * 4.2³ + (1/3)π * 4.2² * 6= 155.2 cm³ + 110.8 cm³= 266 cm³