Mathematics : asked on NasirKA7372

23.07.2020

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

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24.06.2023, solved by verified expert

Bhaskar Singh Bora

p PhD

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Radius: 2 inches Height: 20 inches

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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

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P Answered by PhD

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

Step-by-step answer

P Answered by PhD

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

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

Step-by-step answer

P Answered by PhD

The answer is in the image

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?

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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

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

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

Thomas got a haircut from the barber. If the haircut costs $32 and he wants to leave a 18% tip, how much will he pay in total?

Step-by-step answer

P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32