AnimeAmerica
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

100 POINTS! FULLY CORRECT AND EXPLANITORY ANSWERS OLNY!



Akari has a punch bowl with a volume of 130,000/3 π cm^3. She is hosting a party where she’ll be offering guests two different sizes of cylindrical cups.




The bowl is completely full when Akari begins serving the punch.



Note: 1 cm^3=1 mL



A. Cup A has a diameter of 10 cm. and a height of 20 cm. Find Volume of Cup A.



B. Determine how many cups the punch bowl will fill using Cup size A.

Round the number of scoops to the nearest whole number, and make certain to show your work.



C. Cup B has a diameter of 20 cm. and a height of 20 cm. Find the volume of B.



D. Determine how many cups of punch the punch bowl will fill using Cup size B. Round the number of scoops to the nearest whole number, and make certain to show your work.



THIS QUESTION HAS 4 PARTS (A,B,C, and D) REMEMBER TO ANSWER THEM ALL! Thank you!

Sagot :

semsee45

Answer:

volume of a cylinder = [tex]\pi r^2h[/tex] (where r is the radius and h is the height)

diameter = [tex]2r[/tex]  (where r is the radius)

A)  volume of Cup A = [tex]\pi \times 5^2\times20=500\pi \textsf{ cm}^3[/tex]

B) Assuming the volume of the punch bowl is [tex]\dfrac{130000}{3}\pi \textsf{ cm}^3[/tex]

[tex]\implies \dfrac{130000}{3}\pi \div 500\pi=\dfrac{260}{3}=87 \textsf{ (nearest whole number)}[/tex]

C)  volume of Cup B = [tex]\pi \times 10^2\times20=2000\pi\textsf{ cm}^3[/tex]

D)  Assuming the volume of the punch bowl is [tex]\dfrac{130000}{3}\pi \textsf{ cm}^3[/tex]

[tex]\implies \dfrac{130000}{3}\pi \div 2000\pi=\dfrac{65}{3}=22 \textsf{ (nearest whole number)}[/tex]

#1

Diameter=10cm

  • Radius=r=5cm
  • Height=20cm=h

[tex]\\ \rm\Rrightarrow V=\pi r^2h[/tex]

[tex]\\ \rm\Rrightarrow V=\pi 25(20)[/tex]

[tex]\\ \rm\Rrightarrow V=500\pi cm^3[/tex]

#2

Total cups:-

  • 130000/3π÷500π =87cups

#3

  • Radius=r=10cm
  • Height=20cm

[tex]\\ \rm\Rrightarrow V=\pi 100(20)[/tex]

[tex]\\ \rm\Rrightarrow V=2000\pi cm^3[/tex]

#4

Total cups

  • 130000/3 π÷2000π=22cups
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.