Question

Help me, please guyyyyyyusssssss.

Answer 1

Explanation:

7) Volume of the shape = Volume of triangular prism - volume of cylinder

Triangular prism:

`\boxed{ \text{Volume of triangular prism = base area * h }}`

b = 6 ft & height of the triangle = 5 ft

`\sf Base \ area = (1)/(2)* 6* 5`

= 3*5

= 15 ft²

Volume of prism = 15 * 4

= 60 ft³

Cylinder:

r = 2÷2 = 1 ft & h = 4 ft

Volume of cylinder = 3.14 * 1 * 1 * 4

= 12.56 ft³

Volume of the shape = 60 - 12.56

= 47.44 ft³

8) Volume = Volume of Pyramid - Volume of cone

`\boxed{\text{Volume of the Pyramid = base area * h} }`

`\text {base area = length * width}\\\\\\`

= 9 * 9

= 81 m²

Volume of Pyramid = 81 * 8

= 648 m³

`\boxed{ \text{Volume of cone = (1)/(3) \pi r^(2)h}}`
`\boxed{ \text{Volume of cone = $(1)/(3) \pi r^(2)h$}}`

r = diameter ÷ 2 = 6÷2

r = 3 m & h = 8 m

`\text{ Volume of cone =$(1)/(3)*3.14* 3*3*8$}`

= 3.14 * 3 * 8

= 75.36 m³

Volume of the shape = 648 - 75.36

= 572.64 m³

9) Volume of the shape = volume of cylinder + volume of cone

Cylinder:

h = 7 in ; r = 3

`\boxed{\text{Volume of cylinder =$ \pi r^(2)h$}}`

`=(22)/(7)*3*3*7`

= 22 *3 * 3

= 198 in³

Cone:

r = 3 in & h = 4 in

`\text{Volume of cone = $ (1)/(3)*3.14*3*3*4$}`

= 3.14 * 3 * 4

= 37.68 in³

Volume of the shape = 198 + 37.68

= 235.68 in³

10) Volume of the shape = Volume of outer cyliner - volume of inner cylinder

Volume of outer cylinder:

R = 9 m & h = 3 m

Volume of outer cylinder = 3.14 * 9 * 9 * 3

= 763.02 m³

Volume of inner cylinder:

r = 5 m & h = 3 m

Volume of inner cylinder = 3.14 * 5 * 5 * 3

= 235.5 m³

Volume of the shape = 763.02 - 235.5

= 527.52 m³