Abridge construction company is putting cone-shaped tops on top of each bridge support to discourage birds from roosting on the bridge. each cone will be filled with cement. how much cement will they have to put in each cone? (use=3.14)
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B. 314 cm³

Step-by-step explanation:

We are given that,

Height of the cone = 12 cm

Radius of the cone = 5 cm

Since, we need to fill the cone with the cement. So, we will find the volume of the cone.

So, Volume of the cone =

i.e. Volume of the cone =

i.e. Volume of the cone =

i.e. Volume of the cone =

i.e. Volume of the cone = 314 cm³

Hence, the amount of cement they can put in each cone is 314 cm³.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.