A cylinder has a radius of 4 inches and a height, №17886813, 23.07.2020 03:49

Mathematics

A cylinder has a radius of 4 inches and a height of 5 inches. Which of these dimensions of a cylinder will have the same volume? Radius: 20 inches Height: 60 inches Radius: 2 inches Height: 20 inches Radius: 10 inches Height: 8 inches Radius: 8 inches Height: 5 inches

Step-by-step answer

P Answered by PhD

6

Radius: 2 inches Height: 20 inches

Step-by-step explanation:

$R=4\,,\ H=5\ \implies \ \ V=\pi R^2\cdot H=\pi\cdot 4^2\cdot5=80\pi\\\\\\R=20\,,\ H=60\ \implies \ \ V=\pi\cdot20^2\cdot60=24000\pi\ne80\pi\\\\R=2\,,\ H=20\ \implies \ \ V=\pi\cdot2^2\cdot20=80\pi \\\\R=10\,,\ H=8\ \implies \ \ V=\pi\cdot10^2\cdot8=800\pi\ne80\pi\\\\R=8\,,\ H=5\ \implies \ \ V=\pi\cdot8^2\cdot5=320\pi\ne80\pi$

Mathematics

A cylinder has a radius of 4 inches and a height of 5 inches. Which of these dimensions of a cylinder will have the same volume? Radius: 20 inches Height: 60 inches Radius: 2 inches Height: 20 inches Radius: 10 inches Height: 8 inches Radius: 8 inches Height: 5 inches

Step-by-step answer

P Answered by PhD

2

I don’t know this is a random guess but I’ll say radius = 10 inches and height= 8 inches

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

Step-by-step answer

P Answered by PhD

The answer is in the image

Mathematics

A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

Step-by-step answer

P Answered by PhD

The total nom of code that can be used is equal to 5+3 = 8

Mathematics

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

Step-by-step answer

P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

Step-by-step answer

P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

If a european swallow flies 15 meters every 1 second how many would kilometers would it fly in 15 minutes

Step-by-step answer

P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

A cylinder has a radius of 4 inches and a height of 5 inches. Which of these dimensions of a cylinder will have the same volume? Radius: 20 inches
Height: 60 inches

Radius: 2 inches
Height: 20 inches

Radius: 10 inches
Height: 8 inches

Radius: 8 inches
Height: 5 inches

Step-by-step answer

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