Geometry
posted by Lisa .
15.) Find the volume of a barber's pole having the shape of a right circular cylinder of radius 5 in. and
height 29 in. topped by a sphere of the same radius. Round to the nearest tenth, if necessary.
A) 2276.5 in.3 B) 2799.8 in.3 C) 1046.7 in.3 D) 4553.0 in.3

The volume of a cylinder is V = pi * r^2 * h, and the volume of a sphere is V = (4/3) * pi * r^3.
The volume of the barber pole including the sphere can be found by adding the volume of the cylindrical part to the volume of the spherical part.
You are given that the radius is 5in and the height is 29in. Can you find the volume? 
2 parts:
1. the cylinder: V = pi(5^2)(29) = 725pi
2. the cap: V = (4/3)pi(5^3) = (500/3)pi
Evaluate and see which matches your choices
(I got 2801.3 rounded to one decimal, the closest is B), looks like they used 3.14 for pi, a rather primitive choice for pi)
Respond to this Question
Similar Questions

Math
Find the volume of a barber's pole having the shape of a right circular cylinder of radius 5 in. and height 29 in. topped by a sphere of the same radius. Round to the nearest tenth, if necessary. 
pre algebra
find the volume of each solid. if necessary, round to the nearest tenth. cylinder: radius 4.2cm, height 9cm. 
geometry
Find the volume of a cylinder with radius 6 cm and height 10 cm. Use 3.14 for ð. Round your answer to the nearest tenth. 
geometry
Find the volume of a barber's pole having the shape of a right circular cylinder of radius 5 in. and height 29 in. topped by a sphere of the same radius. Round to the nearest tenth, if necessary. 
math
. Find the volume of the sphere with a radius of 9. Use ð = 3.14 and round your answer to the nearest tenth. 4. Find the volume of an ellipsoid with a semimajor axis of length 10 and the first semiminor axis has length of 6 while … 
MAth
A sphere has a surface area of 28.26 in2. Find the diameter in inches, of the sphere. Use PI Question 2 What is the surface area, in square inches, of a sphere with radius 3.5 in.? 
Math for Ms. Sue please! Last math questions!
For numbers 1–3, find the indicated measurement of the figure described. Use 3.14 for pi and round to the nearest tenth. Find the surface area of a sphere with a radius of 8 cm. 267.9 cm^2 803.8 cm^2 2143.6 cm^2 201.0 cm^2 Find the … 
math
A right circular cylinder is to be inscribed in a sphere of given radius. Find the ratio of the height to the base radius of the cylinder having the largest lateral area. 
Algebra
The volume of a right circular cylinder (think of a pop can) is jointly proportional to the square of the radius of the circular base and to the height. For example, when the height is 10.62 cm and the radius is 3 cm, then the volume … 
math
3.A rectangular prism has a width of 92ft and a volume of 240ft.Find the volume of a similar prism with a width of 23ft.Round to the nearest tenth, if necessary. 4.A pyramid a height of 5in. and a surface area of 90in^2.Find the surface …