Question

Answer with detail. Please show work for all questions (worth 100 points plus ill mark brainliest) ^-^ Thanks!

Answer 1

Answer:

1) 24501.42 m³

2) 138.16 in²

3) 352 m²

Step-by-step explanation:

1) Cylinder

volume = pi × r² × h

Radius = 34/2 = 17

Volume = 3.14 × 17² × 27

= 24501.42 m³

2) Cone

r = 8/2 = 4 in

(pi × r × l) + (pi × r²)

pi × r × (l + r)

3.14 × 4 × (7 + 4)

= 138.16 in²

3) Square based pyramid

4 triangles

4 × ½ × 8 × 22 = 352

Answer 2

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We can find the radius from the diameter

r = d/2 = 34/2 = 17

V = (3.14) (17)^2 * 27

V =24501.42 m^3

The surface of a cone is found by

SA = pi r^2 + pi r  l where l is the slant height

We can find the radius from the diameter

r = 8/2 = 4

SA =(3.14) * 4^2 + 3.14 * 4*7

      =50.24+87.92

        138.16 in^2

The lateral surface area of a pyramid is found by taking the area of the sides

LSA = 4 * the area of a triangle

          we multiply by 4 since there are 4 sides

        = 4 * 1/2 b*h  where b is the base of the triangle and h is the height of the triangle.  (in this case it would be the slant height)

           = 2 * 8 *22

          =352 m^2