Question

23 The cone shown includes the slant height and the height but is missing the radius of the cone. 25 Larry needs to change a light bulb Larry leans a 16 foot ladder agains its base 5 feet away from the wall Which is closest to the distance of the wall to the top of the ladder? A 3 feet B. 11 teet . C 15 feet D. 17 feet 4 ini 6 in. 26 Anna is drawing a picture on a sque paper that has an area of 729 in. What is the minimum side length of clipboard that Anna could use that the whole sheet of paper? A 9 in B. 27 in C. 182.25 in. D. 364.5 in. Based on this information, what is the approximate volume of this cone? A 80 27 A basketball has a diameter of 9.5 cm B. 40 pl C. 80 pi D. 120 pl Which of the expressions shows how determine the volume of all the bash hold?

Answer 1

step 1

Find out the radius

Applying the Pythagorean Theorem

6^2=4^2+r^2

r^2=36-16

r^2=20

$r=2\sqrt[]{5}\text{ in}$

The volume of the cone is equal to

$V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h$

substitute the given values

$\begin{gathered} V=\frac{1}{3}\cdot\pi\cdot(2\sqrt[]{5)}^2\cdot4 \\ V=\frac{80}{3}\pi\text{ in\textasciicircum{}3} \end{gathered}$

therefore

answer is option A