$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \end{cases}\implies V=\pi r^2\cdot \cfrac{h}{3}~~ \begin{cases} \pi r^2=&area~of\\ &circular\\ &base\\ \cline{1-2} \stackrel{B}{\pi r^2}=&5\\ V=&45 \end{cases} \\\\\\ 45=5\cdot \cfrac{h}{3}\implies 135=5h\implies \cfrac{135}{5}=h\implies 27=h$

5 0

3 years ago

Read 2 more answers

What is the solution set -4.9x +1.3 > 11.1

Irina18 [472]

Answer:

x < - 2

Step-by-step explanation:

given - 4.9x + 1.3 > 11.1 ( subtract 1.3 from both sides )

- 4.9x > 9.8 ( divide both sides by - 4.9 )

Remembering to reverse the direction of the inequality symbol as a result of dividing by a negative quantity.

x < - 2 ← inequality reversed

solution set : x ∈ ( - ∞, - 2 )

8 0

2 years ago