Answer:

Geometry

Spatial figures are 3-dimensional shapes that can be measured in Cartesian coordinates on the x-axis, y-axis, and z-axis. . With this 3-dimensional shape, it causes the figures to have volume and surface area. Every shape has a formula whether it's volume or surface area.

Further explanation

there are several shapes in the question

1. Cylinder

A cylinder is a geometric figure consisting of 3 sides, namely 2 equal circles and 1 quadrilateral that surrounds the two circles.

volume formula :

\tt V=\pi r^2.hV=πr

2

.h

2. Sphere

A sphere is a geometric figure composed of an infinite number of circles.

volume formula :

\tt V=\dfrac{4}{3}\pi.r^3V=

3

4

π.r

3

3. Cones

A cone is a geometric figure consisting of a circle and a curved plane.

volume formula :

\tt V=\dfrac{1}{3}\pi.r^2.hV=

3

1

π.r

2

.h

4. Pyramid

A quadrilateral pyramid is a shape that has a rectangular base

volume formula :

\tt V=\dfrac{1}{3}\times L\times W \times hV=

3

1

×L×W×h

Solution

1. Cylinder

r = 3.5 m

h = 8 m

volume formula :

\tt V=\pi r^2.hV=πr

2

.h

V = 3.14 x 3.5² x 8

V = 307.72 m³

2. Sphere

r = 20 dm = 2 m

volume formula :

\tt V=\dfrac{4}{3}\pi.r^3V=

3

4

π.r

3

\begin{gathered}\tt V=\dfrac{4}{3}\times 3.14\times 2^3\\\\V=33.49~m^3\end{gathered}

V=

3

4

×3.14×2

3

V=33.49 m

3

3. Cones

r = 7 m

h = 20 m

volume formula :

\tt V=\dfrac{1}{3}\pi.r^2.hV=

3

1

π.r

2

.h

\begin{gathered}\tt V=\dfrac{1}{3}\pi\times 7^2\times 20\\\\V=1025.73~m^3\end{gathered}

V=

3

1

π×7

2

×20

V=1025.73 m

3

4. Pyramid

L = 3.5 in = 0,0889 m

W = 1.5 in = 0,0381 m

H = 4 in = 0,1016 m

volume formula :

\tt V=\dfrac{1}{3}\times L\times W \times tV=

3

1

×L×W×t

\begin{gathered}\tt V=\dfrac{1}{3} \times 0.0889\times 0.0381\times 0.1016\\\\V=1.15\times 10^{-4}~m^3\end{gathered}

V=

3

1

×0.0889×0.0381×0.1016

V=1.15×10

−4

m

3

Learn more

The standard form of the equation of the circle : brainly.ph/question/815027

Circumference: brainly.ph/question/14333420

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