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3 years ago

What is the volume of the cylinder?

Mathematics

1 answer:

Elenna [48]3 years ago

5 0

Answer:

Option D. $882\pi\ units^{3}$

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

$V=\pi r^{2}h$

In this problem we have

$r=7\ units$

$h=18\ units$

substitute

$V=\pi (7^{2})(18)=882\pi\ units^{3}$ -----> exact value of the volume

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3 years ago

Graph a line that is perpendicular to the line y=-3x + 2 and has a y-intercept of -6.

Fiesta28 [93]

Answer:

Step-by-step explanation:

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3 years ago

Which words name the shape ?

Montano1993 [528]

Answer:

Step-by-step explanation:

It's these shapes because:

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3 years ago

Read 2 more answers

Lori creates the following design for a T-shirt.

kakasveta [241]

<u>Solution-</u>

From the figure,

AE = 2.4

EB = 2.8

BC = 11.7

Area of rectangle 1 = 8.68 sq.in

$\Rightarrow FH \times HI=8.68$

$\Rightarrow EB \times HI=8.68$ (∵ sides of the rectangle 2)

$\Rightarrow 2.8 \times HI=8.68$

$\Rightarrow HI=3.1$

Area of Triangle 1 = 6.48 sq.in

$\Rightarrow \frac{1}{2}\times AE \times EG= 6.48$

$\Rightarrow \frac{1}{2}\times AE \times (EF+FG)= 6.48$

$\Rightarrow \frac{1}{2}\times AE \times (EF+HI)= 6.48$ (∵ sides of the rectangle 1)

$\Rightarrow EF+3.1= 5.4$

$\Rightarrow EF=2.3$

$\Rightarrow BH=2.3$ (∵ sides of the rectangle 2)

$BC = BH+HI+IC$

$\Rightarrow 11.7= 2.3+3.1+IC$

$\Rightarrow IC=6.3$

The area of Rectangle 2,

$=EB\times BH =2.8\times 2.3=6.44\ sq.in$

The area of Triangle 2,

$\frac{1}{2}\times GI \times IC=\frac{1}{2}\times EB \times IC=\frac{1}{2}\times 2.8 \times 6.3=8.82\ sq.in$

The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2

= 6.48+8.68+8.82+6.44=30.42 sq.in

6 0

3 years ago

The sum of two numbers is 56 and the difference is 14. What are the numbers?

sertanlavr [38]

Answer:

x=35, y=21. (35, 21).

Step-by-step explanation:

x+y=56

x-y=14

------------

2x=70

x=70/2

x=35

35+y=56

y=56-35

y=21

4 0

2 years ago