Question

Please answer this math question ASAP!! 50 points and brainliest!! ONLY GIVE BRAINLIEST IF YOU SHOW YOUR WORK.

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Volume\:of\:cube\approx 5.4\:inches^{3}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given: }} \\ \tt: {\implies Height \: of \: cone = 11 \: cm} \\ \\ \tt: \implies Radius \: of \: cone = 3 \: cm \\ \\ \red{\underline \bold{To \: Find : }} \\ \tt: \implies Volume \: of \: cone(in \: inches) = ?$

• According to given question :

$\tt : \implies Height \: of \: cone = 11 \: cm \\ \\ \tt: \implies 1 \: cm \: \approx 0.394 \: inch \\ \\ \tt: \implies 11 \: cm = 0.394 \times 11 \\ \\ \green{\tt: \implies Height \: of \: cone = 4.334 \: inch} \\ \\ \bold{Similarly : } \\ \tt: \implies Radius \: of \: cone = 3 \times 0.394 \\ \\ \green{\tt: \implies Radius \: of \: cone = 1.182 \: inch} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Volume \: of \: cone = \frac{1}{3} \pi {r}^{2} h \\ \\ \tt: \implies Volume \: of \: cone = \frac{1}{3} \times 3.14 \times 1.182\times 4.334 \times \\ \\ \green{\tt: \implies Volume \: of \: cone \approx 5.4 \: inches^{3} }$

Answer 2

Answer:

$\bigstar\:\boxed{\sf 1\:cm \approx 0.39 \:inches}$

◗ Radius = 3 × 0.39 = 1.17 inches

◗ Height = 11 × 0.39 = 4.29 inches

$\rule{200}{1}$

$\underline{\bigstar\:\textsf{According to the Question :}}$

$:\implies\tt Volume = \dfrac{1}{3}\pi r^2h\\\\\\:\implies\tt Volume = \dfrac{1}{3} \times \dfrac{22}{7} \times (1.17)^2 \times 4.29\\\\\\:\implies\tt Volume = \dfrac{22}{7} \times1.3689 \times 1.43\\\\\\:\implies\tt Volume = \frac{43.065}{7}\\\\\\:\implies\underline{\boxed{\tt Volume = 6.15 \: inches^3}}$

⠀

$\therefore\:\underline{\textsf{Volume of Cone in inches is \textbf{6.15 inches ^3 }.}}$