The radius and height of a conical cup is in the ratio 3:4. If the volume of the cup is 2374 cm^3, which of these can be slant height of the cone, rounded off to the nearest whole number?
Answers
Step-by-step explanation:
Let the radius ofthe cone (r) = 3x cm
Height of the cone (h) = 4x cm
Volume of the cone = 1/3πr2h
⇒ 301.44 = 1/3 x 3.14 x (3x)2 .4x
⇒ x3 = 301.44/3.14 x 12 = 8
⇒ x3 = 23 ⇒ x = 2 cm
Radius of the cone = 3x = 3 x 2 = 6 cm
Height of the cone = 4x = 4 x 2 = 8 cm
Slant height of the cone (l) = root under (√r2 + h2 ) = root under (√62 + 82)= √100 = 10 cm
Answer:
10 cm
Step-by-step explanation:
cm
Height of the cone = 4x = 4 x 2 = 8 cm
Math 25 points
Step-by-step explanation:
Let the radius ofthe cone (r) = 3x cm
Height of the cone (h) = 4x cm
Volume of the cone = 1/3πr2h
→ 301.44 = 1/3 x 3.14 x (3x)2.4x
x3 = 301.44/3.14 x 12 = 8
x3 = 23 ⇒ x = 2 cm
Radius of the cone = 3x = 3 x 2 = 6
Slant height of the cone (I) = root under (√r2 + h2) = root under (√62 +82)= √100 = 10 cm