Find the volume specified. Use 3.14 as the approximate value of x, and round your answer to the nearest tenth.
Find the volume of an ice cream cone (right circular cone) of radius 7 cm and height 9 cm topped by a perfect hemisphere of ice cream of the same radius.
To find the volume of the ice cream cone, we first need to find the volume of the cone portion and then add the volume of the hemisphere on top.
The volume of a cone is given by the formula: V = (1/3)πr^2h
Plug in the values: V = (1/3)(3.14)(7^2)(9) = (1/3)(3.14)(49)(9) = 461.36 cm^3 (rounded to the nearest tenth)
Next, we need to find the volume of the hemisphere. The volume of a hemisphere is given by the formula: V = (2/3)πr^3
Plug in the values: V = (2/3)(3.14)(7^3) = (2/3)(3.14)(343) = 720.63 cm^3 (rounded to the nearest tenth)
Finally, add the volume of the cone and the hemisphere together: 461.36 cm^3 + 720.63 cm^3 = 1181.99 cm^3 (rounded to the nearest tenth)
The volume of the ice cream cone (right circular cone) topped by a perfect hemisphere of the same radius is approximately 1182.0 cm^3.