Consider a prism with a height of 8 inches and a 14−inch by 14−inch square base, and a cylinder with a height of 10 inches and a diameter of 10 inches. Determine the difference in volume between the two solids.

782.5inch³

Step-by-step explanation:

In order to find the volume of the prism, we'll use formula

V=Bh

where B is the base area and h is the height

Base area is given by: B= 14"×14"=196 inch²

height =8"

Therefore, V=196×8= 1568 in³

Next is to find volume of the cylinder i.e

v=r²h

where,

r = radius of cylinder i.e 10/2=5 inches

h = height of cylinder i.e 10 inches

So, V=3.142×5×5×10=785.5inch³

Required:

Difference in volume=1568-785.5=782.5inch³

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

answer: i believe the answer is e

step-by-step explanation: