Mathematics, 15.01.2020 09:31 ktie9614

Match each three-dimensional figure to its volume based on the given dimensions. (assume π = 3.14.)

tiles(all of them should match with one another pls figure out which one i neeed it for a test)

1.a right cylinder with radius 4 cm
and height 3 cm,

2. 314 cu cm

3. a cone with radius 5 cm and
height 12 cm

4. 160 cu cm

5. a pyramid with base area with16 sq cm and height 30 cm

6. 48 cu cm

7. a pyramid with a square base of
length 3 cm and height 16 cm

8.150.72 cu cm

Answers: 1

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Answers

Volume formulas:
Cylinder = pi (r^2)(h)
Cone = 1/3 pi (r^2)(h)
Pyramid = 1/3 bh

1. Using the equation for the cylinder = 3.14 (16) (3)
Yields = 150.72 cu cm

3. Using the equation for the cone = 1/3 3.14 (25) (12)
Yields = 314 cu cm

5. Using the pyramid formula = 1/3 (16) (30)
Yields = 160 cu cm

7. Same formula with no. 5
Yields = 48 cu cm

Answer from: vanderrage

Volume is defined as the 3-dimensional space covered by any object. 1. The volume of a right cylinder is 150 cubic cm, 5. the volume of a cone is 314 cubic cm, 5. the volume of a pyramid is 160 cubic cm, and 7. the volume of a pyramid is 48 cubic cm.

1. Given:

Radius of a right cylinder (r) = 4 cm

Height of a right cylinder (h) = 3 cm

The volume of a right cylinder = $\pi r^{2} h$

$=(3.14) (4^{2} )(3)\\$

≈ 150 cubic cm

3. Given:

Radius of a cone = 5 cm

Height of a cone = 12 cm

The volume of a cone = $\frac{1}{3} \pi r^{2} h$

= $\frac{1}{3} (3.14)(5^{2})(12)$

= 314 cubic cm

5. Given:

Base area of a pyramid = 16 sq cm

Height of a pyramid = 30 cm

The volume of a pyramid = $\frac{1}{3} bh$

= $\frac{1}{3} (16)(30)$

=160 cubic cm

7. Given:

Length of square base of a pyramid = 3 cm

Height of a pyramid = 16 cm

The volume of a pyramid = $\frac{1}{3} bh$

= $\frac{1}{3}(3^{2})(16)$

= cubic cm

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