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2 years ago

A cylinder and a cone have the same height and radius.

Mathematics

1 answer:

guajiro [1.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

Cylinder

Formula

V = pi * r^2 * h

r = 2

h = 5

pi = 3.14

V = 3.14 * 2^2 * 5

V = 62.8 cm^3

Cone

V = 1/3 * pi * r^2 * h

Same answer as the cylinder only take 1/3 of it.

V = 1/3 * 62.8

V = 20.933

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Natalia paid 38.95 for three medium-sized pizzas and a salad.solve an equation to find the cost of one pizza, p, if Natalia paid

sergij07 [2.7K]

Answer:

Each pizza was 8.99

Step-by-step explanation:

Assuming the pizzas were the same cost

The total cost is the three pizzas and the salad

Total cost = 3 * pizza + salad

38.95 = 3* pizza+ 11.98

Subtract 11.98 from each side

38.95 -11.98 = 3 * pizza +11.98-11.98

26.97 = 3 * pizza

Divide by 3

26.97/3 = 3 * pizza/ 3

8.99 = pizza

6 0

4 years ago

Complete the table of values for y = 6 - 2x

Tpy6a [65]

Step-by-step explanation:

a) substitute x values:

6-2(0) = 6

6-2(1) = 4

6-2(2) = 2

6-2(3) = 0

6-2(4) = -2

6-2(5) = -4

b) rewrite equation as y=-2x+6.

this shows a negative slope with a y-intercept of 6.

c) 3=6-2x

-6 -6

-3 = -2x

divide both sided by 2

-3/-2 = x

3/2=x

5 0

3 years ago

7. Phozia has three pieces of rope with lengths of 160 cm, 192 cm and

lianna [129]

Answer:

a) 16 cm, b) 37 pieces

Step-by-step explanation:

Part a

Finding the largest divisor of 160, 192 and 240

160 divisors: 1, 2, 4, 5, 8, 10, 16, 32, 40, 80 and 160.

// You can alternatively find them by factor pairs, which are (1, 160), (2, 80), (4, 40), (5, 32), (8, 20) & (10, 16). This way is much more faster. Also, you can simply search them in metanumbers.com

192 divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96 and 192

240 divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240

The largest divider that they all have in common is 16.

So 16 cm is the largest possible length of each of the shorter pieces of

rope

Part b

Now we have to count how many 16 cm pieces of rope can we get from the large rope pieces, which lengths are 160 cm, 192 cm and 240 cm

160/16 + 192/16 + 240/16 = 10 + 12 + 15 = 37

The answer is 37 pieces

3 0

3 years ago

I need help hurry please

PolarNik [594]

Answer:

Step-by-step explanation:

For this question the answer will be b

Hope this helps and hope u pass test

7 0

3 years ago

Peoples Bank offers 8% compounded continuously on CDs What amount invested now grow to 100,000 in 25 years Hint the continuous c

sleet_krkn [62]

Given:

Rate of interest = 8% compounded continuously.

Amount = 100,000

Time = 25 years

To find:

The principal value.

Solution:

Formula for amount after continuous compound interest:

$A=Pe^{rt}$

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting $A=100000, r=0.08, t=25$ in the above formula, we get

$100000=Pe^{0.08(25)}$

$100000=Pe^{2}$

$\dfrac{100000}{e^{2}}=P$

$\dfrac{100000}{7.389056}=P$

On further simplification, we get

$P\approx 13533.528$

Therefore, the amount 13533.528 is invested.

3 0

3 years ago