Answer parts (a), (b), and (c) for a cylinder with a radius of 8 centimeters and height of 12 centimeters. (a) Compute the volume of the cylinder if the height were increased by 4 centimeters and the radius stayed the same. (b) Compute the volume of the cylinder if the radius were increased by 4 centimeters and the height stayed the same. (c) Which causes the volume to increase more, increasing its radius or height? Explain. (a) What is the volume if the height is increased by 4 centimeters? V cubic centimeters (Do not round until the final answer. Then round to the nearest hundredth as needed.)

Answer parts (a), (b), and (c) for a cylinder with a radius of 8 centimeters and height of 12 centimeters. (a) Compute the volume of the cylinder if the height were increased by 4 centimeters and the radius stayed the same. (b) Compute the volume of the cylinder if the radius were increased by 4 centimeters and the height stayed the same. (c) Which causes the volume to increase more, increasing its radius or height? Explain. (a) What is the volume if the height is increased by 4 centimeters? V cubic centimeters (Do not round until the final answer. Then round to the nearest hundredth as needed.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: there is a (20 louge tauk. it contains liters of water. Kennith decides to disolve 16 grams of salt…

A: A large tank contains 120 liters of water in which 16 grams of salt is dissolved. Brine containing…

Q: A 44-kg woman cheats on her diet and eats a 700-Calorie (700 kcal) jelly doughnut for breakfast.…

A: (a) Mass of the woman is 44 kg and energy is one doughnut is 700 Calorie. 1 K cal=4.186×103 J.…

Q: Your friend is sitting on a tree branch 6 feet above the ground when you shoot him with a high…

A: Given,

Q: 16. 3 x 36 = 9. If 2g-4 28, then g

A: (16) 23×36=2×12=24

Q: Apparently, this question is tricky. Imagine a bowl (half a sphere) filling up with water. The…

Q: QUESTION 2 Volume of a flat ended compressed air drum is 15m3. It experiences a maximum stress of…

A: Given that Volume of a flat ended air drum = 15 m3. σmax=145 MN/m2P=2.2 MN/m2L=4D To find wall…

Q: The number of miles M that a certain automobile can travel on one gallon of gasoline at a speed of v…

A: Given query is to find the economical speed and the corresponding mile.

Q: A trough has ends shaped like isosceles triangles, with width of w = 4 meters and height h. = 6…

Q: Express the give quantity in terms of the indicated variable.

A: Express the give quantity in terms of the indicated variable.

Q: How many work days would it take you to earn $1000 working a 7 hr. /workday at $8 per hour? Solve…

Q: A rectangular cube with these dimensions 1.25 ft x 0.25 ft x 12.00 ft is full of water. It is…

Q: Find the amount of salt in each tank according to the following diagram. The initial volumes are 3…

A: Given: Initial volume in both tanks vx=vy= 3gallons. x(0)=1 y(0)=0 vx- volume in first tank…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

Q: A bridge has been constructed between the mainland and an island. The total cost (excluding tolls)…

Q: hose is leaking into a pool at a rate of 2 ½ gallons in 3 minutes. How long will it take for 7 ½…

A: Leakage of 2 ½ gallons in 3 minutes Leakage of 7 ½ gallons in x minutes.

Q: A snow ball, in the shape of a sphere, is melting so that its surface area is decreasing at a rate…

Q: 6- You have just installed the Embassy Century above ground pool in your backyard, which is 21 feet…

Q: G x+16 F 9.

Q: 15. Water is draining from a small cylindrical tank into a larger one below it. The small…

Q: A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of…

A: Given that:Volume=V=314.159Height=h=4 Rate of change of volume=dVdt=20 The question is asking for…

Q: An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If the oil was…

Q: After working together for three hours on a common task to workers have completed fractional parts…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Answer parts (a), (b), and (c) for a cylinder with a radius of 8 centimeters and height of 12 centimeters.
(a) Compute the volume of the cylinder if the height were increased by 4 centimeters and the radius stayed the same.
(b) Compute the volume of the cylinder if the radius were increased by 4 centimeters and the height stayed the same.
(c) Which causes the volume to increase more, increasing its radius or height? Explain.
(a) What is the volume if the height is increased by 4 centimeters?
cubic centimeters
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

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

pLEASE SOLVE ALL WITH CLEAR STEPS
Heating oil is to be poured at the constant rate of 4.5 gallons per minute into a 400-gallon tank that already contains 115 gallons of heating oil. What fraction of the tank’s total capacity will be full in 30 minutes?
Show your complete solution.
Chase wants to find out how much water a rectangular pool can hold. Which formula should he use? (A) S A = 2lw + 21h + 2wh (B) V = lwh (C) V = 1/3 Bh (D) V = 1/3 nr^2 h
The volume of a cone of material deposited by an excavator backhoe given it's radius can be found 1 with the formula V 3 1 a. Solve V = - Trh for r in terms of h. 3 b. Find r if V = 26.1 cubic feet, and the height of the cone is twice its radius. r = feet (Use T = 3.14 and round to two decimal places) Question Help: DPost to forum Submit Question esc Search or type L @ 2 4 5 6 Q W E # M
A box without a top is to be made from a rectangular piece of cardboard, with the dimensions shown below, by cutting out square corners with side length x and folding up the sides. -9 cm- X x X X 12 cm Write an equation for the volume of the box in terms of x. Estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
val quir 3. A seventy-liter tank initially is half full of water. A solution containing 20 g/L of salt flows into the tank at the rate of 4 L/min, and a well-stirred mixture flows out at the rate of 2 L/min. How much salt is in the tank just before the solution overflows?
The edges of a cube are expanding at a rate of 3 centimeters per second. Part 1: Write an equation to compute the volume V of the cube using the length of an edge x. V = cm Part 2: Part 3: