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3 years ago

Find the surface area of a cylinder with a base radius of 2 cm and a height of 3 cm.

Mathematics

1 answer:

jek_recluse [69]3 years ago

6 0

Answer: 62.8cm^2

Step-by-step explanation:

The surface area of a cylinder is calculated by 2πrh+2πr2

where π is a constant, given as 3.14; h is the height, given as 3cm and r is radius, given as 2cm.

Therefore, rh = 3 x 2= 6 cm ^2 while r^2 =2 × 2= 4 cm^2.

Slot the values into the formula:

V= 2 (3.14) x 6 + 2 (3.14) x 4

V=37.68 + 25.12

V=62.8cm ^2

I hope this helps

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In parallelogram RSWY, find m

LuckyWell [14K]

Answer:

Part A) $m\angle R=110^o$

Part B) $m\angle S=70^o$

Step-by-step explanation:

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

step 1

Find the value of x

we know that

$m\angle R=m\angle W$ ----> by definition of parallelogram (opposite angles are congruent)

substitute the given values

$(5x-90)^o=(2x+30)^o$

solve for x

$5x-2x=30+90\\3x=120\\x=40^o$

step 2

Find the measure of angle R

$m\angle R=(5x-90)^o$

substitute the value of x

$m\angle R=(5(40)-90)=110^o$

step 3

Find the measure of angle S

we know that

$m\angle R+m\angle S=180^o$ ---> by definition of parallelogram (consecutive angles are supplementary)

we have

$m\angle R=110^o$

substitute

$110^o+m\angle S=180^o$

$m\angle S=180^o-110^o$

$m\angle S=70^o$

8 0

3 years ago

Matthew went to a amusement park during his summer vacation. He went

Bond [772]

Answer:

4 rides

Step-by-step explanation:

36.75-10.5= 26.25 cost of admission

26.25 divded by 5.5= 4.7777777

so 4 rides with left over change

4 0

2 years ago

Read 2 more answers

Given that ABCD is a rhombus, what is the value of x?

Maslowich

Answer:

Step-by-step explanation:

We know that diagonals bisect angles of a rhombus, meaning that they split the angles of two equal parts, that opposite angles are equal, and that the angles of a quadrilateral, such as a rhombus, add up to 360 degrees.

Looking at the drawing I uploaded, and taking into account that diagonals bisect angles of a rhombus, we can say that angle x = y and z = 5x-18

Next, given that opposite angles are equal, we can say that angle B = angle D and angle A = angle C. Therefore,

A+B+C+D= 360 (as the angles of a quadrilateral add up to 360)

A + B + A + B = 360 (plugging in A for C and B for D)

2 ( A + B) = 360

A + B = 180

x + y + z + 5x - 18 = 180 (plugging x+y in for A, and z+5x-18 in for B, as x and y make up A and z and 5x-18 make up B)

x+x+5x-18+5x-18 = 180 (because x=y and z=5x-18)

2(x+5x-18) = 180

divide both sides by 2

x+5x-18=90

6x-18=90

add 18 to both sides

6x=108

divide both sides by 6

x = 18

4 0

2 years ago

The dimensions of a rectangular solid are 4 ft by 6 ft by 10 ft. What is the volume?

mrs_skeptik [129]

Answer:

Step-by-step explanation:

Volume = length x breadth x height

= 4 x 6 x 10

= 240 cubic feet

3 0

3 years ago

How do you make .208 a fraction?

seropon [69]

$0.\underbrace{208}_{3}=\frac{208}{1\underbrace{000}_3}=\frac{208}{1000}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 8\\\\\frac{208}{1000}=\frac{26}{125}\\\\Answer:0.208=\frac{26}{125}$

6 0

3 years ago