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3 years ago

A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

6 0

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume = $\frac{4}{3}\pi (6)^{3}$ = 288π m³

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3 years ago

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This is a binomial experiment and you'll use the binomial probability distribution because:

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3 years ago

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musickatia [10]

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2 years ago

What is 0.06% as a decimal and a fraction

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3 years ago

Read 2 more answers

calculate the height at 3 seconds given that the rocket travels 85 feet per second and starts on a launch pad 15 feet of the gro

Airida [17]

Answer:

The height of the rocket at 3 seconds is 270 feet

Step-by-step explanation:

To calculate the height of the rocket at 3 seconds,

First, we will determine the height the rocket has traveled in 3 seconds

The height traveled by the rocket is given by

Height (h) = Velocity (v) × Time (t)

From the question,

The rocket travels 85 feet per second, that is the velocity of the rocket is 85 feet per second,

Now,

v = 85 feet / second

t = 3 seconds

Hence,

Height (h) = 85 feet /second × 3 seconds

Height = 255 feet

∴ the rocket would have traveled 255 feet in 3 seconds,

But, the rocket starts on a launch pad 15 feet of the ground,

Then, the height of the rocket at 3 seconds is

255 feet + 15 feet = 270 feet.

Hence, the height of the rocket at 3 seconds is 270 feet

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3 years ago