4.9k views
8 votes
Drag each statement to the correct location on the table. Classify the shapes based on their volumes. a cone with a radius of 12 units and a height of 6 units a cylinder with a diameter of 12 units and a height of 27 units a sphere with a diameter of 12 units a cylinder with a diameter of 8 units and a height of 18 units a sphere with a radius of 9 units a cone with a diameter of 18 units and a height of 36 units 288 TT 972 TT​

Drag each statement to the correct location on the table. Classify the shapes based-example-1
User Strada
by
8.5k points

2 Answers

13 votes

Answer:

1. volume of cone = 288π cube units

2. volume of cylinder = 972π cube units

3. volume of sphere = 288π cube units

4. volume of cylinder = 288π cube units

5. volume of sphere = 972π cube units

6. volume of cone = 972π cube units

User Micheal Vu
by
8.3k points
9 votes

Answer:

288
\pi

  • cone with radius 12 and height 6
  • cylinder with diameter 8 and height 18
  • sphere with diameter 12

972
\pi

  • cone with diameter 18 and height 36
  • cylinder with diameter 12 and height 27
  • sphere with radius 9

Explanation:


\textsf{volume of a sphere} =\frac43\pi r^3


\textsf{volume of a cone} =\frac13\pi r^2h


\textsf{volume of a cylinder} =\pi r^2h


\textsf{diameter} =2r

(where r is the radius, h is the height and d is the diameter)

Input the given values of r (d) and/or h into the above equations

Cone

r = 12, h = 6: volume = 288
\pi

d = 18 ⇒ r = 9, h = 36: volume = 972
\pi

Cylinder

d = 12 ⇒ r = 6, h = 27: volume = 972
\pi

d = 8 ⇒ r = 4, h = 18: volume = 288
\pi

Sphere

d = 12 ⇒ r = 6: volume = 288
\pi

r = 9: volume = 972
\pi

User Secfree
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories