Notes

 

Problems

\(\textbf{1)}\) Find the volume of a sphere with radius \(4\) cm.

Show Answer

The volume is \( \frac{256\pi}{3}\approx268.08 \)cm\(^3 \)

 

\(\textbf{2)}\) Find the surface area of a sphere with radius \(3\) ft.

Show Answer

The surface area is \( 36\pi\approx113.04 \)ft\(^2 \)

 

\(\textbf{3)}\) Find the volume of a hemisphere with radius \(5\) in.

Show Answer

The volume is \( \frac{250\pi}{3}\approx261.80 \) in\(^3 \)

 

\(\textbf{4)}\) Find the surface area of a hemisphere with radius \(6\) yd.

Show Answer

The surface area is \( 108\pi\approx339.29 \) yd\(^2 \)

 

See Related Pages\(\)

\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)

\(\bullet\text{ Rectangular Prisms- Volume}\)
\(\,\,\,\,\,\,\,\,\)\(V=l \cdot w \cdot h…\)

\(\bullet\text{ Rectangular Prisms- Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(SA=lw+wh+lh…\)

\(\bullet\text{ Distance Formula 3D}\)
\(\,\,\,\,\,\,\,\,d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}…\)

\(\bullet\text{ Diagonal of a Prism}\)
\(\,\,\,\,\,\,\,\,\)\(d=\sqrt{l^2+w^2+h^2}…\)

\(\bullet\text{ Cylinders- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(V=\pi r^2h\,\,\,SA=2\pi r^2+2 \pi rh…\)

\(\bullet\text{ Pyramids- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(V=\frac{1}{3}Bh\,\,\,SA=B+\frac{pl}{2}…\)

\(\bullet\text{ Cones- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(V=\frac{1}{3}\pi r^2 h\,\,\,SA=\pi r^2+\pi r l…\)

\(\bullet\text{ Similar figures}\)
\(\,\,\,\,\,\,\,\,\text{Similarity ratio } a:b, \text{Area ratio } a^2:b^2, \text{Volume ratio } a^3:b^3\)

\(\bullet\text{ Nets of Polyhedra}\)
\(\,\,\,\,\,\,\,\,\)