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ANTONII [103]
3 years ago
13

A cone has a volume of 1309cm^3. If the height of the cone is 8 centimeters, find its radius.

Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

The radius is 12.5.

Step-by-step explanation:

The volume of a cone is found using the formula V = \frac{1}{3} \pi r^2 h. Substitute the values V = 1309 and h = 8. Solve for r.

V = \frac{1}{3} \pi r^2 h\\1309 = \frac{1}{3} \pi r^2 * 8\\3927 = \pi r^2*8\\156.2 = r^2\\12.5 = r

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2,8

Step-by-step explanation:

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Could I get the answer, all work and explanation for this problem?
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A card is selected at random from an ordinary deck of 52 cards. What is the probability that it is either an ace or a spade
tamaranim1 [39]

Answer: 4/13

Step-by-step explanation:

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

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8 0
3 years ago
The area of a trapezium is 360 cm² and its height is 18 cm. If one of the parallel sides is longer than the other by 6 cm, then
Leokris [45]

Answer:

The two parallel sides a and b are 17 cm and 23 cm respectively

Step-by-step explanation:

Area of a trapezium = {(a+b)/2} h

Where

h = height = 18 cm

a = parallel side 1 = x

b = parallel side 2 = x + 6

Area of a trapezium = {(a+b)/2} h

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360 = { (2x + 6) / 2} 18

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x = 17 cm

b = parallel side 2 = x + 6

x + 6

= 17 + 6

= 23 cm

8 0
3 years ago
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