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VikaD [51]
3 years ago
9

A cylinder has an elliptical base with major semiaxis length of 6 cm and minor semiaxis length of 4 cm. its altitude is 7.5 cm.

find the volume of the cylinder. (hint: volume of the cylinder = area. of base × altitude.) volume (to the nearest tenth) = a0 cm 3.
Mathematics
2 answers:
Len [333]3 years ago
5 0

Answer:

180π cm³

Step-by-step explanation:

The formula for the area of an ellipse with major axis a and minor axis b is

A = π·a·b.

Here, that area is A = π(6 cm)(4 cm) = 24π cm².

Multiplying this base area by the altitude, 7.5 cm, results in the volume:

V = (24 cm²)·π·(7.5 cm) = 180π cm³

ASHA 777 [7]3 years ago
4 0

Answer:

565,5 cm³

Step-by-step explanation:

To calculate the volume of a cylinder we have to found the area of the base and multiply by the altitude of the cylinder. As the base is elliptical, the area is given by:

A = a*b*\pi, where a is the major axis and b the minor axis. Thus:

A=6*4*\pi =75.39 cm^2

And,

V = A*h = 75.39*7.5 = 565.48 cm^3.

Rounding to the nearest tenth: 565.5 cm³

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