Ask question

Ask question

All categories

3 years ago

5

Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find th

e total surface area of the cylinder.
PLEASE HELP ME AS FAST AS POSSIBLE

1 answer:

Kobotan [32]3 years ago

4 0

Step-by-step explanation:

lets radius be r and height be h,

r+h=21 -----(1)

curved surface area

2×pi×r×h=616 -----(2)

use simultaneous eqn to solve for r and h.

total surface area of cylinder= 2×pi×r×h + 2×pi×r²

= ans if im not wrong

You might be interested in

A publisher requires 2⁄3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest

rjkz [21]

Let x be the number of pages of advertisements.

Write a proportion from the table:

$\dfrac{2}{3}$ of a page of advertisment - 5 pages in a magazine

x pages of advertisment - 98 pages in a magazine,

then

$\dfrac{\dfrac{2}{3}}{x}=\dfrac{5}{98}.$

Find x:

$x=\dfrac{\dfrac{2}{3}\cdot 98}{5}=\dfrac{196}{15}=13\dfrac{1}{13}.$

Answer: 13 whole pages and $\dfrac{1}{13}$ of 14th page are advertisments, so 14 pages contain advertisments.

3 0

3 years ago

What is 112.491 written in word form?

bearhunter [10]

Answer:

112.491 = one hundred twelve and four hundred ninety-one

thousandths.

Step-by-step explanation:

6 0

3 years ago

The LCM of two numbers is 60. Their GCf is 6 and their difference is 18. What are the two numbers?

Aliun [14]

$LCM(x,y)=60\\
GCF(x,y)=6\\
x-y=18\\\\
LCM(x,y)=\dfrac{|x\cdot y|}{GCD(x,y)}\\
60=\dfrac{|x\cdot y|}{6}\\
|x\cdot y|=360\\\\\\
|x\cdot y|=360\\
x-y=18\\\\
|x\cdot y|=360\\
x=18+y\\\\
|(18+y)\cdot y|=360\\
|18y+y^2|=360\\
18y+y^2=360 \vee 18y+y^2=-360\\
y^2+18y+81=441 \vee y^2+18y+81=-279\\
(y+9)^2=441 \vee (y+9)^2=-279\\
y+9=\sqrt{441} \vee y+9=-\sqrt{441}\\
y=21-9 \vee y=-21-9\\
y=12 \vee y=-30\\\\
x-12=18 \vee x-(-30)=18\\
x=30 \vee x=-12\\\\
\boxed{x=30, y=12 \vee x=-12, y=-30}$

4 0

3 years ago

Read 2 more answers

What type of correlation does the data set display?

lara31 [8.8K]

Answer:

B-NO CORRELATION.....

4 0

3 years ago

LOTS OF POINTS <br> Simplify the expression by factoring, showing the steps in your work

julia-pushkina [17]

Answer:

$\frac{3x+7}{4x+1}$

Step-by-step explanation:

$\frac{12x^2+31x+7}{16x^2+8x+1}$

First you factor $12x^2+31x+7$ :

$=\left(12x^2+3x\right)+\left(28x+7\right)$

Then you factor out $3x$ from $12x^2+3x$ :

$12x^2+3x$

$=12xx+3x$

$=3\cdot \:4xx+3x$

$=3x\left(4x+1\right)$

Then you factor out 7 from $28x+7$ :

$28x+7$

$=7\cdot \:4x+7$

$=7\left(4x+1\right)$

$=3x\left(4x+1\right)+7\left(4x+1\right)$

Factor out common term $4x+1$ :

$=\left(4x+1\right)\left(3x+7\right)$

$\frac{\left(4x+1\right)\left(3x+7\right)}{16x^2+8x+1}$

Factor $16x^2+8x+1$ :

$=4^2x^2+8x+1$

$=4^2x^2+8x+1^2$

$=\left(4x\right)^2+8x+1^2$

$=\left(4x\right)^2+2\cdot \:4x\cdot \:1+1^2$

Use the perfect square formula:

$=\left(4x+1\right)^2$

$\frac{\left(4x+1\right)\left(3x+7\right)}{\left(4x+1\right)^2}$

Cancel out common factor $4x+1$ :

$=\frac{3x+7}{4x+1}$

8 0

3 years ago