pls help me with these 4 questions.

1.The volume of a right rectangular prism is 7 1/2 cm³. The height of the prism is 2 1/4 cm.

What is the area of the base of the prism?

3 1/3 cm²

5 1/4 cm²

9 3/4 cm²
2.What is the exact volume of this cone? (look at the first pic)

32/3π in³

80/3π in³

320/3π in³
3.This prism is being used as a planter for small plants to keep on a windowsill.

How much dirt will it take to completely fill 4 of these planters?(2nd pic)
115 1/2 cm³

361 cm³

462 cm³
4.Cone X has a diameter of 20 ft and a height of 16 ft. Cone Y is the same height as cone X, but its diameter is twice the diameter of cone X.

What is the difference in the volumes of the two cones?

Use π≈3.14 .


5,024 ft³

15,072 ft³

20,096 ft³

pls help me with these 4 questions 1The volume of a right rectangular prism is 7 12 cm The height of the prism is 2 14 cm What is the area of the base of the pr class=
pls help me with these 4 questions 1The volume of a right rectangular prism is 7 12 cm The height of the prism is 2 14 cm What is the area of the base of the pr class=

Respuesta :

Answer:

see below

Step-by-step explanation:

1. 7 1/2 ÷ 2 1/4 = 3 1/3 cm²

2. Volume of a cone = [tex]\frac{1}{3}\pi r^2h = \frac{1}{3}\pi \times 4^2 \times5=\frac{80}{3} \pi [/tex] in³

3. Volume of planter = 3 1/2 x 6 x 5 1/2 = 115.5

   4 planters = 115.5 x 4 = 462 cm³

4. Cone X volume = [tex]\frac{1}{3}\pi r^2h = \frac{1}{3} \times3.14 \times 10^2 \times16=\frac{5024}{3} [/tex]

  Cone Y volume = [tex]\frac{1}{3}\pi r^2h = \frac{1}{3} \times3.14 \times 20^2 \times16=\frac{20096}{3} [/tex]

  Difference = 5024 ft³  

Answer:

5024 ft³  

Step-by-step explanation: