MATH SOLVE

2 months ago

Q:
# 1)which is the correct first step in finding the height of a cylinder with a volume of 178 pie cubic inches and a radius of 8 inches\A.V=pie^2h 8=pie(178)^2hB.V=pie^2h V=pie+(8)^2+178pieC.V=pie^2h V=pie(8)2(178)D.V=pie^2h 178pie=pie(8)^2h2)Louis calculated the height of a cylinder that has a volume of 486pie cubic centimeters and a radius of 9 centimeters her work is shows belowV=BHSTEP 1:486pie=pie9^2hSTEP 2:486pie=81piehSTEP 3:486pie/81pie=81pie/81pie hSTEP 4:h=6pie cmwhat error did louise make when calculating the height of the cylinderA.in step 1 she substituted into the volume formula incorrectlyB.in step 2 she calculated 9^2 incorrectlyC.in step 4 the pie should have canceled making the correct answer 6 cmD.louise correctly calculated the height of the cylinder3)which is the correct first step in finding the area of the base of a cylinder with a volume of 140 pie cubic meters and a height of 12 metersA.V=BH 12=B(140pie)B.V=BH V=140pie+(12)C.V=BH V=140pie(12)D.V=BH 140pie=B(12)4)the volume of a cylinder can be found using the formula V=pie^2hwhich is the correct first step in finding the height of a cylinder with a volume of 192pie cubic inches and a radius of 5 inchesA.5=pie(192)^2hB.V=pie+(5)^2+192pieC.V=pie(5)^2(192)D.192pie=pie(5)^2h5)a cylinder has a volume of 140pie cubic meters and a height of 14 meters what is the area of the baseA.10pie square metersB.12pie square meters C.126pie square meters D.1,960pie square metersyall plz actually help me get the all right I really need this thank you Xoxo

Accepted Solution

A:

Part 1)which is the correct first step in finding the height of a cylinder with a volume of 178 pie cubic inches and a radius of 8 inches

we know that

[volume of a cylinder]=pi*r²*h

volume =178 pi in³

r=8 in

178 pi in³=pi*8²*h

the answer Part 1) is

178pie=pie(8)^2h

Part 2) Louis calculated the height of a cylinder that has a volume of 486pie cubic centimeters and a radius of 9 centimeters her work is shows below

V=BH

STEP 1:486pie=pie9^2h

STEP 2:486pie=81pieh

STEP 3:486pie/81pie=81pie/81pie h

STEP 4:h=6pie cm

what error did louise make when calculating the height of the cylinder

we know that

[volume of a cylinder]=pi*r²*h

volume =486 pi cm³

r=9 cm

486pi=pi*9²*h------> step 1 is correct

486pi=pi*81*h-----> step 2 is correct

486pi/81pi=pi*81*h/81pi-----> step 3 is correct

h=6 cm--------> step 4 is nor correct, because the pi factor is canceled

therefore

the answer part 2) is

C.in step 4 the pie should have canceled making the correct answer 6 cm

Part 3)which is the correct first step in finding the area of the base of a cylinder with a volume of 140 pie cubic meters and a height of 12 meters

we know that

[volume of a cylinder]=area of the base*height

B=area of the base

volume=140pi m³

h=12 m

140pi=B*12

therefore

the answer Part 3) is

140pie=B(12)

Part 4) the volume of a cylinder can be found using the formula V=pie^2h

which is the correct first step in finding the height of a cylinder with a volume of 192pie cubic inches and a radius of 5 inches

we know that

V=pi*r²*h

V=192pi in³

r=5 in

192pi=pi*5²*h

therefore

the answer Part 4) is

D.192pie=pie(5)^2h

Part 5)a cylinder has a volume of 140pie cubic meters and a height of 14 meters what is the area of the base

we know that

[volume of a cylinder]=area of the base*height

area of the base=Volume/height -------> 140pi/14------> 10pi m²

the answer Part 5) is

A.10pie square meters

we know that

[volume of a cylinder]=pi*r²*h

volume =178 pi in³

r=8 in

178 pi in³=pi*8²*h

the answer Part 1) is

178pie=pie(8)^2h

Part 2) Louis calculated the height of a cylinder that has a volume of 486pie cubic centimeters and a radius of 9 centimeters her work is shows below

V=BH

STEP 1:486pie=pie9^2h

STEP 2:486pie=81pieh

STEP 3:486pie/81pie=81pie/81pie h

STEP 4:h=6pie cm

what error did louise make when calculating the height of the cylinder

we know that

[volume of a cylinder]=pi*r²*h

volume =486 pi cm³

r=9 cm

486pi=pi*9²*h------> step 1 is correct

486pi=pi*81*h-----> step 2 is correct

486pi/81pi=pi*81*h/81pi-----> step 3 is correct

h=6 cm--------> step 4 is nor correct, because the pi factor is canceled

therefore

the answer part 2) is

C.in step 4 the pie should have canceled making the correct answer 6 cm

Part 3)which is the correct first step in finding the area of the base of a cylinder with a volume of 140 pie cubic meters and a height of 12 meters

we know that

[volume of a cylinder]=area of the base*height

B=area of the base

volume=140pi m³

h=12 m

140pi=B*12

therefore

the answer Part 3) is

140pie=B(12)

Part 4) the volume of a cylinder can be found using the formula V=pie^2h

which is the correct first step in finding the height of a cylinder with a volume of 192pie cubic inches and a radius of 5 inches

we know that

V=pi*r²*h

V=192pi in³

r=5 in

192pi=pi*5²*h

therefore

the answer Part 4) is

D.192pie=pie(5)^2h

Part 5)a cylinder has a volume of 140pie cubic meters and a height of 14 meters what is the area of the base

we know that

[volume of a cylinder]=area of the base*height

area of the base=Volume/height -------> 140pi/14------> 10pi m²

the answer Part 5) is

A.10pie square meters