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padilas [110]
3 years ago
6

The radius AND height of a cylinder are each doubled. What is the new volume?

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

The volume of a cylinder is given by

V = \pi hr^2

Let h\mapsto 2h and r\mapsto 2r

The new volume becomes

V = \pi(2h)(2r)^2 = \pi\cdot 2h \cdot 4r^2 = 8\pi hr^2

So, the new volume is 8 times the original volume. In fact, volume scales linearly with the height and quadratically with the radius.

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If the diameter of a semi circle is 2 inches what is the semi circles perimeter
SpyIntel [72]

Answer: 5.14 cu in

Step-by-step explanation:

1/2 (π × d) + d, where d is the diameter of the semi

Perimeter = 1/2 (3.14 x 2) + 2

= 1/2 * 6.28 + 2

= 3.14 + 2

5 0
3 years ago
Find area of the composite figure..
saveliy_v [14]

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

Area of the triangle = r²sintheta

Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle  = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

Area of parallelogram = 20(20)sin60

Area of parallelogram = 400(0.8660)

Area of parallelogram = 346.4square inches

Area of parallelogram = 346 square inches

Area of the figure = 346  + 281

Area of the figure  = 627square inches

3 0
3 years ago
What is the area, in square centimeters, of the figure shown.
aev [14]
The area including cutout is 15*8=120
the area of cutout is 5*5=25

120-25=95 cm²
8 0
3 years ago
Read 2 more answers
Find the missing number 390x__=390,000<br> Answers<br> A 10^2<br> B 10^3<br> C 10^4<br> D 10^5
exis [7]

Answer:

B. 10 to the third power

8 0
3 years ago
Read 2 more answers
Find the solution to the system:
Sliva [168]

Answer:

u = 12, v= 15

Step-by-step explanation:

Given the system of simultaneous equation:

1/6 u− 1/3 v=−3... (1)

0.2u+0.1v=3.9...(2)

Rewriting both equation as fraction

1/6 u− 1/3 v=−3

1/5 u + 1/10 v = 39/10

Multiplying equation (1) by 6 and (2) by 10 we have:

u - 2v = -18... (3)

2u + v = 39...(4)

Using elimination method, we will first multiply equation (3) by 2 and (2) by 1 to have:

2u-4v = -36 ...(5)

2u+v = 39...(6)

Subtracting (5) from (6);

-4v-v = -36-39

-5v = -75

v = -75/-5

v = 15

Substituting v = 15 into equation (3) to get u we have:

u - 2(15) = -18

u - 30 = -18

u = -18+30

u = 12

The solution to the system of simultaneous equation are u = 12 and v = 15

7 0
3 years ago
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