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Find the volume of the right circular cone with
(i) radius 6 cm, height 7 cm
(ii) radius 3.5 cm, height 12 cm

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CBSE/Class 9/Mathematics/Surface Area and Volumes/NCERT Solutions/Exercise 13.7

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(i) Radius (r) of cone = 6 cm Height (h) of cone = 7 cm Volume of cone Therefore, the volume of the cone is 264 cm3. (ii) Radius (r) of cone = 3.5 cm Height (h) of cone = 12 cm Volume of cone Therefore, the volume of the cone is 154 cm3.
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(i) Radius (r) of cone = 6 cm

Height (h) of cone = 7 cm

Volume of cone

Therefore, the volume of the cone is 264 cm3.

(ii) Radius (r) of cone = 3.5 cm

Height (h) of cone = 12 cm

Volume of cone

Therefore, the volume of the cone is 154 cm3.

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Professional in Adaptive Learning for 8-12th with 11 Yrs of Experience in Quality Teaching

1) 263.89 cu cm 2) 153.94 cu cm
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Volume of right circular cone =1/3πr²h, (i) V = 1/3 x 22/7 x 6 x 6 x 7 ⇒V = 264 cm³ (ii) V =1/3 x 22/7 x 3.5 x 3.5 x 12 ⇒ V = 154 cm³
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264cc,154cc
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Experienced Maths Teacher

Volume of cone = 1/3* π*r^2*h (i) 1/3 *(22/7) *6*6*7 = 264 cm^3 (ii) 1/3 *(22/7)*3.5*3.5*12 = 154 cm^3
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POSTGRADUATE INTERNATIONAL ONLINE MATH TUTOR WITH 27 YEARS EXPERIENCE

Volume of a cone= 1/3 πr²h Hence I) V= 1/3×22/7×6×6×7=464 Ii) V= 1/3×22/7×7/2×7/2×12=154sq.cm
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