Question

A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If...

A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 498π ft3, determine the radius and height of the silo that requires the least amount of material to build. Hint: The volume of the silo is πr^2h + 2 3 πr^3, and the surface area (including the floor) is π(3r^2 + 2rh). (Round your answers to one decimal place.)

r= ft

h= ft

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If...
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 516π ft3, determine the radius and height of the silo that requires the least amount of material to build. Hint: The volume of the silo is πr2h + A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 516π ft3, determine the...
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The...
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The metal in the dome costs 1.6 times as much as the concrete​ (per unit of surface​ area). If the volume of the silo is 550 m cubed​, what are the dimensions of the silo​ (radius and height of the cylindrical​ tower) that minimize the cost of the​ materials? Assume the silo has no floor and no flat ceiling under the dome.
A grain silo consists of a cylindrical concrete lower surmounted by a mental hemispherical dome. The...
A grain silo consists of a cylindrical concrete lower surmounted by a mental hemispherical dome. The metal in the dome costs 1.7 times as much as the concrete(per unit of a surface area). If the volume of the silo is 950 m^3, what are the dimensions of the silo(radius and height of the cylindrical tower) that minimize the cost of the materials? Assume the silo has no floor and no flat ceiling under the dome. -what is the function of...
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The...
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The metal in the dome costs 2.1 times as much as the concrete​ (per unit of surface​ area). If the volume of the silo is 600m^3 what are the dimensions of the silo​ (radius and height of the cylindrical​ tower) that minimize the cost of the​ materials? Assume the silo has no floor and no flat ceiling under the dome. What is the function of...
Find the radius of the container in the shape of a right circular cylinder with an...
Find the radius of the container in the shape of a right circular cylinder with an open top whose volume is 1 liters and whose surface area is minimal. Carefully explain why your answer would give the minimal surface area. Detailed and step by step solution please :)
A container in the shape of a right circular cylinder with no top (but it does...
A container in the shape of a right circular cylinder with no top (but it does have a bottom) has surface area 3? ft^2. What are the dimensions that will allow the cylinder to hold the most liquid? Leave all answers exact.
A grain silo consists of a cylindrical main section and a hemispherical roof. If the total...
A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of the silo (including the part inside the roof section) is 11,000 ft3 and the cylindrical part is 30 ft tall, what is the radius of the silo, correct to the nearest tenth of a foot? r =  ft The real solutions of the given equation are rational. List all possible rational roots using the Rational Zeros Theorem. (Enter your answers as a comma-separated...
∠ABC is a right angle. AB = 8 inches, BC = 13 inches, and AD =...
∠ABC is a right angle. AB = 8 inches, BC = 13 inches, and AD = 3 feet. Determine the surface area (in square inches) and volume (in cubic inches) of the following. (Round your answers to one decimal place.) A triangular prism is given. The prism is oriented so that the top and bottom faces are triangles. Four vertices of the prism are labeled as follows: The bottom left vertex of the top triangular face is labeled A. The...