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5 votes
PLEASE HELP ME

A toy castle tower is made using a
cylinder and cone with the same base
radius of 3 cm. If the height of the
cylinder is 5 cm, and the height of the
cone is 4 cm, what is the total volume
of the tower?

User Sagar Giri
by
8.1k points

2 Answers

5 votes

Answer:

57π cm³ ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]

Explanation:

Cone Volume = ⅓πr²h

Cylinder Volume = πr²h

__________________

Given:

  • Cone and Cylinder have a radius of 3 cm.
  • Cone has a height of 4 cm.
  • Cylinder has a height of 5 cm.

_____________________

The total volume will be the sum (addition) of the cones volume and the cylinders volume.

Therefore:

Total volume = ⅓πr²(h_1) + πr²(h_2)

Total volume = (⅓(h_1) + (h_2))(πr²)

Total volume = (⅓(4 cm) + (5 cm))(π(3 cm²))

Total volume = (4/3 + 5)(9π) cm³

Total volume = (19/3)(9π) cm³

Total volume = 57π cm³

Total volume = 179.0707812546.. cm³

Total volume ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]

User Hong Wei
by
9.0k points
0 votes

Answer:

12

Explanation:

The base radius is 3

The height of the cylinder is 5

The height of the cone is 4

Add The Numbers

3 + 5 + 4 = 12

User Jrefior
by
7.9k points

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