A cylinder has a height of 10 ft and a volume, №13458063, 31.08.2022 00:08

Mathematics

Can someone PLEASE HELP me with this??? i really don t know what to do A cylinder has a height of 10 ft and a volume of 25,456 ft³. The radius of the cylinder is approximately ___ feet. Round your answer to the nearest whole number.

Step-by-step answer

P Answered by Master

$\sf\purple{The\:radius\:of\:the\:cylinder\:is\:approximately \:28 \:ft.}$

Given:-

$\sf\blue{Height\:of\:the\:cylinder\:(h) }$ = 10 ft.

$\sf\pink{Volume\:of\:the\:cylinder}$ = 25,456 ft³.

To find:-

$\sf\purple{The\:radius\:of\:the\:cylinder.}$

Step-by-step explanation:-

We know that,

$\sf\red{Volume\:of\:a\:cylinder}$ = $\pi {r}^{2} h \\ ✒ \: 25456 \: {ft}^{3} = \pi {r}^{2} \times 10 \: ft \\ \: ✒ \: {r}^{2} = \frac{25456 \times 7 \: {ft}^{3} }{22 \times 10 \: ft} \\ ✒ \: {r}^{2} \: = \frac{178192 \: {ft}^{2} }{220} \\ \: ✒ \: {r}^{2} = 809.9636 \: {ft}^{2} \\ \: ✒\: r \: = \sqrt{809.9636 \: {ft}^{2} } \\ ✒ \: r \: = 28.45 \: ft$

Hence, the radius of the cylinder is 28.45 feet.

$\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘$

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

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

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

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