Max is building a spherical model of Earth. He is building his model using 2-inch long pieces of wood to construct the radius. The first time he tries to build the model, he uses 3 of the 2-inch pieces of wood end-to-end to make the radius of the model. a) What is the volume of the model in cubic inches? b) In order to purchase the right amount of paint for the outside of the model, Max needs to know the surface area. What is the surface area of the model in square inches? c) Max decides he wants the model to be larger. If he doubles the length of the radius, how many times larger is the volume?

Max is building a spherical model of Earth. He is building his model using 2-inch long pieces of wood to construct the radius. The first time he tries to build the model, he uses 3 of the 2-inch pieces of wood end-to-end to make the radius of the model. a) What is the volume of the model in cubic inches? b) In order to purchase the right amount of paint for the outside of the model, Max needs to know the surface area. What is the surface area of the model in square inches? c) Max decides he wants the model to be larger. If he doubles the length of the radius, how many times larger is the volume?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 42E: If the tank in Exercises 41 needs to be painted and 1 pint of paint covers 50ft2, how many pints are...

See similar textbooks

Similar questions

The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the prism measures 11cm.calculate the lateral area of the right prism.
If the tank in Exercises 41 needs to be painted and 1 pint of paint covers 50ft2, how many pints are needed to paint the exterior of the storage tank? A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gallon of gasoline, what is the total storage capacity of the tank measured in gallons?
A triangle has a base of 8.4 cm and a height of 12.5 cm. What is the area of the triangle?
Is it possible for a a rectangle inscribed in a circle to have a diameter for a side? Explain. b a rectangle circumscribed about a circle to be a square? Explain.
For a right circular cone, the slant height has a measure equal to twice that of the radius length of the base. If the total area of the cone is 48in2, what are the dimensions of the cone?
The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the prism is 10 in. find the a Lateral area. b total area. c volume.