Question

In: Math

Problem: A bottle is shaped with a right cone placed on top of a right cylinder....

Problem: A bottle is shaped with a right cone placed on top of a right cylinder. The radius of the cone and the cylinder

is 1.5 inches. The height of the cone is 3 inches and the height of the cylinder is 5 inches.

  1. Find the volume of the bottle.

  2. About how much paper or plastic is needed to make a label for the cylindrical part of your bottle? Explain.

Solutions

Expert Solution

Hence correct answers are

Volume of bottle = 42.43 cubic inches

paper or plastic required to make label for cylindrical part = 47.12 square inches


Related Solutions

Explain the procedure to generate a cylinder placed on top of a rectangular block using any...
Explain the procedure to generate a cylinder placed on top of a rectangular block using any CAD software.
A 0.504 kg metal cylinder is placed inside the top of a plastic tube, the lower...
A 0.504 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 5.54 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder...
rite the code for a class named Funnel. A funnel is a cone-shaped object that is...
rite the code for a class named Funnel. A funnel is a cone-shaped object that is used to pour liquids into small openings. For the purpose of this question, you may assume that a Funnel is an inverted cone (see image at left) and has a flap (a lid) at the bottom that can be opened and closed. A Funnel has the following PUBLIC features: a) A Funnel created without any data has a radius of 12, a height of...
The cone shaped sensor at the base of the semicircular canals involved with balance? Saccule Otoliths...
The cone shaped sensor at the base of the semicircular canals involved with balance? Saccule Otoliths Utricle scala media Cupola
What is the force that the fist exerts on the top of the bottle?
A glass soda bottle is emptied of soda and filled to the very top with water. A cork is carefully fitted into the top of the bottle, leaving no air between the cork and the water. The top of the bottle has a diameter of D_top = 2.00 cm and the bottom of the bottle has a diameter of D_bot = 6.50 cm. The glass breaks when it is exposed to p_max = 70.0 MPa of pressure. A student hits...
Use Cavalieri’s principle to derive a formula for volume of a right circular cone.
Use Cavalieri’s principle to derive a formula for volume of a right circular cone.
An observatory is to be in the form of a right circular cylinder surmounted by a...
An observatory is to be in the form of a right circular cylinder surmounted by a hemispherical dome. If the hemispherical dome costs 10 times as much per square foot as the cylindrical​ wall, what are the most economic dimensions for a volume of 10000 cubic​ feet?
A thermos bottle in the shape of a cylinder has an inner radius of 4.0 cm,...
A thermos bottle in the shape of a cylinder has an inner radius of 4.0 cm, an outer radius of 4.5 cm, and a lengt of 30cm. The insulating walls have a thermal conductivity equal to 2.0 x 10^-5 cal/(sec-cm celsius). One liter of hot coffee at 90 degrees Celsius is poured into the bottle. If the outside wall remains at 20 degrees Celsius, how long does it take for the coffee to cool to 50 degrees Celsius?
The tank in the form of a right-circular cone of radius 7 feet and height 39...
The tank in the form of a right-circular cone of radius 7 feet and height 39 feet standing on its end, vertex down, is leaking through a circular hole of radius 4 inches. Assume the friction coefficient to be c=0.6 and g=32ft/s^2 . Then the equation governing the height h of the leaking water is dhdt=_______________ If the tank is initially full, it will take _________ seconds to empty.
In the figure current is set up through a truncated right circular cone of resistivity ?,...
In the figure current is set up through a truncated right circular cone of resistivity ?, left radius a, right radius b, and length L. Assume that the current density is uniform across any cross section taken perpendicular to the length. In terms of the variables given, what is the resistance of the cone?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT