The post of a street light is shaped like a truncated cone, as shown in the picture below. It is a large cone minus a smaller top cone. The large cone is 21 feet tall with base radius 1 foot. The smaller cone is 7 feet tall with base radius of 0.5 feet. (a) Find the volume (in cubic feet) of the large cone to the nearest tenth. cu. ft (b) Find the volume (in cubic feet) of the small cone to the nearest tenth. cu. ft (c) Find the volume (in cubic feet) of the post by subtracting the volume of the small cone from the volume of the large cone. Round your answer to the nearest tenth. cu. ft

The post of a street light is shaped like a truncated cone, as shown in the picture below. It is a large cone minus a smaller top cone. The large cone is 21 feet tall with base radius 1 foot. The smaller cone is 7 feet tall with base radius of 0.5 feet. (a) Find the volume (in cubic feet) of the large cone to the nearest tenth. cu. ft (b) Find the volume (in cubic feet) of the small cone to the nearest tenth. cu. ft (c) Find the volume (in cubic feet) of the post by subtracting the volume of the small cone from the volume of the large cone. Round your answer to the nearest tenth. cu. ft

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: The height of a cone is tripled and the radius is doubled. The volume is how many times as great?

A: Given that: A cone given height is tripled and radius is doubled

Q: A cylinder has a base radius of 3cm and a height of 2cm. What is its volume in cubic cm, to the…

A: Volume of cylinder is pir^2h

Q: B) A cylindrical column in the building shown has circumference 10 feet and height 20 feet. What is…

A: Volume of cylinder

Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7\text{…

A: Solution

Q: The following right prism is 3cm by 4 cm by 4cm. What is the surface area and volume of this prism?

Q: ular steel plate 3.74 in. by 9.34 in. by 1.00 in. thick with a 2.00-in.-diameter hole in the center…

A: Introduction: The volume of the cuboid with length l, width w, and thickness h is given by, V=lwh…

Q: a colony of 2 to the power 120 bacteria occupies a total volume of 1.3x10 to the power 15m cubed.…

Q: A water storage tank is shaped like a cone. The diameter of the circular base of the tank is 4.5…

Q: A scale of the Earth has a diameter of 11 inches. Every 3 inches on the globe is equivalent to 1035…

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Question

The post of a street light is shaped like a truncated cone, as shown in the picture below. It is a large cone minus a smaller top cone. The large cone is 21 feet tall with base radius 1 foot. The smaller
cone is 7 feet tall with base radius of 0.5 feet.
(a) Find the volume (in cubic feet) of the large cone to the nearest tenth.
cu. ft
(b) Find the volume (in cubic feet) of the small cone to the nearest tenth.
cu. ft
(c) Find the volume (in cubic feet) of the post by subtracting the volume of the small cone from the volume of the large cone. Round your answer to the nearest tenth.
cu. ft

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Step by step solution

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the area of the annulus if the diameter of the iron washer is 6 cm and the diameter of the hole is 3 cm.
60 cm, by 25 cm. The height is 30 cm. How many cubic centimeter of elae was used to build the aquarium? 2. The lateral area of a cylinder is 94.2 cm2. The height is 6 cm. What is the radius? 3. Find the amount of tin needed to make a milk tin can that has a radius of
What is the volume and surface area>
A piece of hardware is constructed by drilling a cylindrical hole through a right prism with a square base that measures 20 mm on each side. The hole is 35 mm long, as shown in the diagram. Determine the volume of the remaining material once the hole has been drilled. Round your answer if necessary to the nearest cubic millimeter. Use 3.14 for π ..
The diameter of a cone is 16 meters. If the height is 1.5 times its radius, what is the volume of the cone? Round to the nearest tenth. V =
An oatmeal container has a diameter of 9 inches and a volume of 239.4 in3. What is the lateral surface area of the oatmeal container? Hint: You have to use the Volume to find the height before you can calculate the lateral surface area. Round your answer to the nearest tenth.
A company who makes flotation devices has products that come in many different shapes and sizes. Complete parts a and b below using the figures shown to the right. Use the a button on your calculator. Base part (a) Base part (b) ..... a) Determine the volume, in cubic inches, of a flotation device that is in the shape of a 7-ft-long solid octagonal prism whose base has an area of 4 in. The volume of the flotation device is in.. b) Determine the volume, in cubic inches, of a hollow flotation device that has the same shape as the flotation device described in part (a) except that a right circular cylinder of a diameter 0.5 in. has been removed from the center. The volume of the flotation device is in.". (Type an integer or a decimal. Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest thousandth as needed.)
A cylinder has a base radius of 6m and a height of 16m. What is its volume in cubic m, to the nearest tenths place?
A tank has the shape of an inverted circular cone with a radius of 4 feet and a height of 6 feet. if the tank contains 4 feet of gasoline find the work required to empty the tank through a pipe that extends 3 feet above the top of the tank. use 42.5 as the specific weight of the gasoline
A cistern (well) is to be built of cement. The wall will be 3 ft thick and the height will be 20ft. The inner diameter is 5ft. How much cement is required to create the wall? Round to the Nearest Tenth.
A rectangular opening is 15 in. wide and 26 in. long. A strip of constant width is to be removed from around the opening to increase the area to 672 in². How wide must the strip be?
A waffle cone is 5 1/2 inches tall and the diameter of the base is 2 1/2 inches. Find the lateral area of the cone. Round to the nearest tenth.