# Calculus and vectors

A cylindrical tank is to have a capacity of 1000 m³. It is to fit into a foundry that is 12 m wide with a height of 11 m.

The base of the tank will cost half as much as the top. The metal for the side of the tank will cost four fifths as much as the top.

An equation that can be used to model the cost of the tank is C(r)=(3/2)pi r^2+(1600/r) . Determine any restrictions on r. You need not solve further.

1. 👍 0
2. 👎 0
3. 👁 230

## Similar Questions

1. ### calculus

A cylindrical tank is to have a capacity of 1000 m³. It is to fit into a foundry that is 12 m wide with a height of 11 m. The base of the tank will cost half as much as the top. The metal for the side of the tank will cost four

asked by nal on July 22, 2015
2. ### Calculus

A cylindrical tank is to have a capacity of 1000 m³. It is to fit into a foundry that is 12 m wide with a height of 11 m. The base of the tank will cost half as much as the top. The metal for the side of the tank will cost four

asked by emma on June 10, 2019
3. ### WORD PROBLEM HELP

Mr. Wu needs to buy a right cylindrical fish tank that holds between 75 and 100 cubic meters of water. Using only these numbers: 2,3,4,5,6, and 7, identify a radius and a height for three different tanks that would fit Mr.Wu"s

asked by Kimbo on April 12, 2015
4. ### MATH WORD PROBLEM HELP PLEASE

Mr. Wu needs to buy a right cylindrical fish tank that holds between 75 and 100 cubic meters of water. Using only these numbers: 2,3,4,5,6, and 7, identify a radius and a height for three different tanks that would fit Mr.Wu"s

asked by Kimbo on April 12, 2015
5. ### Maths

The capacity of a cylindrical tank is 32l .It is 4/5 full of water .A quarter of this volume is poured into a pail .How much water is left in the cylindrical tank

asked by Anitha on October 2, 2017
6. ### Math

You are in charge of a tank to be used for water storage. Your boss has told you that he wants a cylindrical tank with a minimum capacity of 300,000 cubic feet. Your boss wants to spend the least possible amount in painting the

asked by Megan on May 15, 2008
7. ### math-optimal diameterand height

A cylindrical oil-storage tank is to be constructed for which the following costs apply: cost per square meter metal for ides \$30.00 combined costs of concrete base and metal bottom \$37.50(cost per square meter) top 7.50 (cost per

asked by Alicia on November 18, 2010
8. ### math

A tank contained 22.5m^3 of water. More water was poured into the tank at the rate of 1.45m^3 per minutes. The tank was full at the end of 30 minutes. What is the capacity of the tank in tank? =22.5 + 1.45(30) =22.5 +43.5 = 66 =

asked by kudu on March 17, 2015
9. ### algebra

A cylindrical oil tank is 2/5 full. If 9 more liters are added, the tank will be 5/8 full. What is the capacity of the tank?

asked by Gloria on March 1, 2012
10. ### lagrange multipliers

A cylindrical oil-storage tank is to be constructed for which the following costs apply: cost per square meter metal for ides \$30.00 combined costs of concrete base and metal bottom \$37.50(cost per square meter) top 7.50 (cost per

asked by gemicia on December 29, 2013

More Similar Questions