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2 years ago

Calculate the height of the cylinder shown.

Mathematics

2 answers:

bekas [8.4K]2 years ago

7 0

Answer:

37.3

Step-by-step explanation:

If you want to solve it.

Cylineder Formula: Volume = π(radius)²(height)

Isolate height by diving πr² on both sides.

height = (volume/πr²)

height = (300/π(1.6^2))

olga_2 [115]2 years ago

4 0

Answer:

h = 36.2 cm

Step-by-step explanation:

lets make it short and simple

vol of cylinder + volume of hemisphere = 300 cu.cm.

Vc + Vh = 300 --- eq.1

cylinder radius = 1.6 cm.

since it says NOT TO SCALE

let the radius of hemisphere is the same as cylinder.

vol of cylinder = πr²h

vol of hemisphere = 2/3 πr³

using eq.1

πr²h + 2/3 πr³ = 300

π (1.6²) h + 2/3 π (1.6³) = 300

h = 36.2 cm

check:

Vc + Vh = 300

π (1.6²) 36.2 + 2/3 π (1.6³) = 300

<u>300 cu.cm = 300 cu.cm</u>. ----OK

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