Question

What is the diameter of a hemisphere with the volume of 557 m²

Answer 1

How to find the diameter of a hemisphere using the volume

This took me alot of work because there isn't an exact formula

We use the volume formula upside down

Volume Formula (Hemisphere)

V = (2/3)πr

V = Volume (557)

R = Radius ( Half of the diameter)

We flip that around.

R = V  ÷  ((2/3)xπ)

Replace the variables with what we know

R = 557  ÷  ((2/3)xAprox.3.14)

Divide and Multiply by order

R = 557 / 2.09439510239

R = 265.947909907

Remenber that

D = R x 2

Replace variable R

D = 265.947909907 x 2

D = 531.895819814

Answer:

Your answer should be written as one of these

• 531.89
• 531.8
• 532

Answer 2

Answer:

Question :-

• What is the diameter of a hemisphere with the volume of 557 m².

Given :

• A hemisphere with the volume of 557 m².

Find Out :-

• Diameter of a hemisphere.

Solution :-

We know that,

❍ Volume Of Hemisphere = 2/3πr³

where r = Radius.

According to the question,

➻ 2/3πr³ = 557

➻ 2/3 × 22/7 × r³ = 557

➻ r³ = 557 × 3/2 × 7/22

➻ r³ = 557 × 3 × 7/2 × 22

➻ r³ = 187709/44

➻ r³ = 4266.11

➻ r = ∛4266.11

➭ r = 195.95 m

Now, let's find the diameter,

We know that,

❖ Diameter = Radius × 2

➔ Diameter = 195.95 × 2

➠ Diameter = 391.9 m.

∴ The diameter of a hemisphere is 391.9 m.