Answered: The height of a right circular cylinder…

The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?

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.CR: Review Exercises

Problem 13CR: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10...

See similar textbooks

Related questions

Q: If the exact volume of a right circular cylinder is 2007 cm and its altitude measures 8 cm, what is…

A: The volume of a circular cylinder with radius r and height h is given by V=πr2h. The height of the…

Q: A cylinder with a 6 inch radius is laid on its side and filled to a depth of 9 inches. The cylinder…

Q: A large pinecone has a spiral that is 144 units in length, while a smaller pinecone has a spiral…

A: We have given that Sample size n= 144 , favorable cases x=89 Sample proportion p^=x/n

Q: nearest

A: Given Length of pipe = 25 ft Volume of pipe = 900 ft3

Q: A hose has a radius of approximately 0.5 in. and a lengthof approximately 20 ft. By what factor does…

A: Assume radius of the hose be r and length be l. Given, r=0.5 inches and l=20 ft

Q: A solid has volume and surface area equal to 1200 cu.in and 800 sq. in, respectively. What is the…

A: For two similar solid ,Ratio of volume and surface area is always equal.we use this fact to solved…

Q: The ratio of the volume to the lateral area of a right circular cone is 3:1. If the altitude is 15…

A: Here we can choose the correct answer as below.

Q: If the lateral surface area of a triangular prism is 250 square centimeter with a 15 cm base length…

Q: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm, and 12 cm. The altitude of…

A: Given: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm and 12 cm. The…

Q: An ice cream cone has a surface area of 306 cm2 and radius of 5 cm what is the slant height, to the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The ratio of the lengths of the radii of two similar cones is 3:5. What is the ratio of the surface…

Q: The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15…

Q: Find the volume of a cone with a base circumference of 19π cm and a height 6 cm less than twice the…

A: base of the cone is circle

Q: A cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the…

Q: The lateral area of a right circular cone is equal to 47.124 cm2 and the ratio of its radius to its…

A: We know that the lateral surface area of the cone having radius "r" and height "h" is πrl, where…

Q: Find the volume of a right curcular cone that has a height of 9.6 cm and a base with a radius of…

Q: The cone below has a base area of 6π cm2 and a slant height of 14 cm. Find the volume, rounded to…

A: Base area of cone is πr2and l =14 cmBase Area=πr2=6πr2=6r=6 cmNow, by pythagoras…

Q: If a cone has a radius of 4 centimeters and a height of 12 centimeters what is the volume of the…

A: Given Height of the cone h=12 cm Radius of the base of the cone r=4 cm

Q: For a right circular cone, the ratio of the slant height to the length of the radius is 5:3. If the…

A: Given that the ratio of slant height to the radius of right circular cone is 5:3 and the volume of…

Q: The volume of Prism A is 1,53 volume of Prism B is 375 m3. ratio of their surface area?

A: The volume of prism A=VA= 1536 m3 and Volume of prism B=VB= 375 m3 Let the side of prism A =a and…

Q: What is the radius, to the nearest tenth, of a can of beans with volume 625 ml and height 5 cm?

A: A can of beans has the shape of a cylinder. We want to find the volume.1ml = 1cm3 volume of…

Q: The volume of a circular cylinder is 1280A m³, and its height is 5 m. What is the radius of its…

Q: the length of a side of a cube is equal to the radius of a sphere. which solid has the greater…

A: The length of a side of a cube is equal to the radius of a sphere. Let x be the side of a cube, then…

Q: The ratio between the curved surface area and the total surface area of a right circular cylinder is…

Q: 3.The lateral area of a right circular cone is 386 square centimeters. If the diameter is one-half…

Q: A cylinder has a base diameter of 10m and a height of 14m. What is its volume in cubic m, to the…

A: Volume of cylinder = πr2h

Q: The lateral area of a cone is three-fifths the total area, Find the ratio of the radius and the…

A: Given the lateral area of a cone is three-fifths the total area. To Find the ratio of the radius…

Q: Find the volume of a right circular cone that has a height of 14.7 ft and a base with a radius of 2…

A: Volume is the space covered by the object or any geometric figure in a three dimensional space. It…

Q: What is the ratio of the volume of a cone to the volume of a cylinder, if both have a radius of 8…

Q: the area of the base of a cone is equal to 11.56 π cm2. if the cones slant height measures 5.5cm,…

Q: The volume of a cone with height 49 cm, is 1848 cm'. Calculate the radius of the cone.

A: See the attachment

Q: A cube of side 4 cm is cut into 1 m cubes . WHatis the ratio of the surface areas of the original…

Q: Two identical cylinders are tightly packed side by side in a box 12 cm by 6 cm and 4 cm height. Find…

A: To determine the ratio of the volume of the box to the volume of the cylinders.

Q: What is the surface area of the cylinder with height 6m and radius 8 m round your awnser to the…

Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

Q: A water trough is 9 m long and has a cros height 50 cm. If the trough is being filled m/min

A: Given a water trough which is 9 m long and has a cross section in shape of an isosceles trapezoid

Q: The radius of a cylindrical construction pipe is 2 ft, if the pipe is 21 ft long,what is the volume

A: Given that the radius of the cylindrical pipe is 2ft and its height is 21 ft. The volume of the…

Q: The curved surface area of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. Find the ratio…

Q: The ratio of the volume to the lateral area of a right circular cone is 3:1. If the altitude is 15…

A: calculate the ratio of the slant height to the radius .

Q: A solid steel cylinder has a radius of 2.5 cm and a height of 10 cm. A tight-fitting sleeve is to be…

A: Given that, The radius of steel cylinder = 2.5 cm Height of cylinder = 10 cm Volume of cylinder = pi…

Q: A pile of snow is plowed into the shape of a right cone. How many trucks with a capacity of 10 yd3…

A: Here we will find number of trucks required ,

Q: Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the…

Q: For a right circular cone, the ratio of the slant height to the length of the radius is 5 : 3. If…

A: Given that: The ratio of the slant height to the length of the radius is 5:3, and the volume of…

Q: Find the volume of the cone given its radius is 4 cm and its slant height of 6 cm. If necessary,…

A: Given query is to find the volume of the cone.

Q: A 5cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the…

A: Consider the 5 cm cube. Determine the surface area. S=6a2=652=150 cm2 Determine the volume.…

Q: An oblique cylinder has radius of 14 units and a surface area of 1064 square units. What is the…

Q: find the surface area of a cylinder whose height is 3 yd and radius is 8 yd. round to the nearest…

Q: A propane tank is cylindrical and is 18 feet long with a radius of 4 feet. What is the total volume…

Q: You reduce in size a large sphere with surface area of 169TT cm2 to become a sphere with surface…

Concept explainers

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.

Question

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Cylinders and Cones$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

The spherical storage tank described in Example 5 had a length of radius of 3ft. Because the tank needs to be painted, we need to find its surface area. Also determine the number of pints of rust-proofing paint needed to paint the tank if 1 pint covers approximately 40ft2. Use your calculator.
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?
A triangle has sides that measure 15 cm, 20 cm, and 25 cm. Find the exact volume of the solid of revolution formed when the triangle is revolved about the side of length 20 cm.
The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10 in. Find the exact a Lateral area b total area c volume.
From the veranda of a beachfront hotel, Manny is searching the seascape through his binoculars. A ship suddenly appears on the horizon. If Manny is 80ft above the earth, how far is the ship out at sea? HINT: See Exercise 27 and note that 1mi=5280ft. An airplane reaches an altitude of 3mi above the earth. Assuming a clear day and that a passenger has binoculars, how far can the passengers see? HINT: The radius of the earth is approximately 4000 mi.
When radii OA and OB are placed so that they coincide, a 240 sector of a circle is sealed to form a right circular cone. If the length of the radius of the circle is 6.4 cm, what is the lateral area of the cone that is formed? Use a calculator and round the answer to the nearest tenth of a square inch.