Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere.

Mathematics

2 answers:

lawyer [12.5K]2 months ago

5 0

I don't know the answer, but it's not what that person suggested.

lawyer [12.5K]2 months ago

5 0

The formula for the volume of a sphere can be derived as follows. We will approach this through calculus, utilizing the concept of a solid of revolution; this is a three-dimensional shape formed by rotating a two-dimensional curve around a straight line (the axis of revolution) that lies within the same plane. From calculus, we know that we will generate a shape by rotating the specified circumference. Next, we isolate y and utilize certain limits for this integral.

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The probability of drawing two aces from a standard deck is 0.0059. We know this probability, but we don't know if the first car

Inessa [12570]

Answer:Option C is correct.

C. The events are independent because the first ace was replaced before drawing the second ace.

Step-by-step explanation:

It is given that the probability of drawing two aces from a standard deck is 0.0059

If the first card is drawn and replaced, it alters the probability. Performing draws with replacement makes each event independent of one another

The chance of getting an ace on the first draw is 4/52, and with the replacement, the probability remains 4/52 for the second draw

Therefore, if we consider the first and second draws as event A and event B respectively, these events are independent

C. The events are independent because the first ace was replaced before drawing the second ace.

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1 month ago

Gus has a fish tank that holds 471047104710 inches^3 3 cubed of water. He is using a cylinder shaped bucket with a radius of 555

tester [12383]

Answer:

Gus must fill the cylindrical bucket three times to get it filled for the tank

Step-by-step explanation:

Extracting essential details from the query:-

*** A fish tank has a volume of 4710 inches^3

*** The tank owner utilizes a cylindrical bucket for filling the tank

*** The bucket has a radius of 5 inches and a height of 20 inches

*** We need to compute how many times Gus has to fill the bucket to fully fill the fish tank.

Since the container used for filling the tank is cylindrical, we will apply the formula for finding a cylinder's volume to derive the bucket's volume used for filling the tank.

Volume of a cylinder = π × r^2 × h. The radius of the cylindrical bucket is stated as 5 inches while the height is mentioned as 20 inches.

The bucket's volume is therefore calculated as 3.14 × 5^2 × 20 = 1570 inches^3

Next, it is given that the fish tank’s capacity is 4710 inches^3. To find out how many times the bucket can fill the tank, we must divide the tank's volume by the bucket's volume:

4710/1570 = 3 full buckets.

Thus, Gus has to fill the bucket three times for filling the fish tank completely without spillage.

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2 months ago

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PIT_PIT [12445]

Answer:

Comprehensive explanation: $y=-30x+210$