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12 votes
12 votes
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?

23 The cone shown includes the slant height and the height but is missing the radius-example-1
User Jason Favors
by
2.4k points

1 Answer

19 votes
19 votes

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=(1)/(3)\cdot\pi\cdot r^2\cdot h

substitute the given values


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

therefore

answer is option A

User Helloworlder
by
2.8k points