Calculate the volume of the following cylinder.

July 2, 2026Mathematics

ScanSolve AI Answer

July 2, 2026

Answer

$\text{15700 cm}^3$

Huu hapa ni utatuzi wa swali la kwanza:

1. Calculate the volume of the following cylinder

Kutoka kwenye mchoro, tunaona kuwa: Kipenyo (diameter), $d = 20 \text{ cm}$ Urefu (height), $h = 50 \text{ cm}$

Step 1: Tafuta eneo la duara la msingi. Radi (radius), $r = \frac{d}{2} = \frac{20 cm}{2} = 10 \text{ cm}$ . Eneo la duara la msingi, $A = \pi r^2$ .

Step 2: Tumia formula ya ujazo wa silinda. Ujazo wa silinda, $V = A \times h = \pi r^2 h$ . Tutatumia $\pi \approx 3.14$ au $\frac{22}{7}$ .

Step 3: Badilisha namba kwenye formula. $V = \pi (10 cm)^2 (50 cm)$ $V = \pi (100 cm^2) (50 cm)$ $V = 5000 \pi cm^3$

Step 4: Kokotoa thamani ya mwisho. $V \approx 5000 \times 3.14 cm^3$ $V \approx 15700 cm^3$

Ujazo wa silinda ni: $\boxed{15700 cm^3}$

Tuma swali linalofuata 📸

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

Qयदि a = 2i – 16j + 5k तथा b = 3i + j + 2k, तो सदिश c का अस्तित्व इस प्रकार है कि सदिश a, b, c एक समक…QAn alternating voltage of 240V, 50Hz is connected across an impedance of (60-1100)Ω. Determine (a) t…QA jet flies from town X (50°S, 20°E) directly to Y(50°S, 28°W) and 1200m to Z (i) Find the latitude…QIt is given that log x = 6 and log y = -2. Evaluate (a) log (xy) (b) log (1/sqrt(x))QA school plans to fence a rectangular playground with an area of 600 m². The length of the playgroun…

See all Mathematics questions →

Still have questions?

Quick Answer

Huu hapa ni utatuzi wa swali la kwanza: 1. Calculate the volume of the following cylinder Kutoka kwenye mchoro, tunaona kuwa: Kipenyo (diameter), d = 20 cm Urefu (height), h = 50 cm Step 1: Tafuta eneo la duara la msingi.

Asked on July 2, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on July 2, 2026

Huu hapa ni utatuzi wa swali la kwanza: 1. Calculate the volume of the following cylinder Kutoka kwenye mchoro, tunaona kuwa: Kipenyo (diameter), d = 20 cm Urefu (height), h = 50 cm Step 1: Tafuta eneo la duara la msingi. Radi (radius), r = (d)/(2) = 20 cm2 = 10 cm. Eneo la duara la msingi, A = r^2. Step 2: Tumia formula ya ujazo wa silinda. Ujazo wa silinda, V = A × h = r^2 h. Tutatumia ≈ 3.14 au (22)/(7). Step 3: Badilisha namba kwenye formula. V = (10 cm)^2 (50 cm) V = (100 cm^2) (50 cm) V = 5000 cm^3 Step 4: Kokotoa thamani ya mwisho. V ≈ 5000 × 3.14 cm^3 V ≈ 15700 cm^3 Ujazo wa silinda ni: 15700 cm^3 Tuma swali linalofuata 📸

Asked on July 2, 2026Mathematics

ScanSolve AI AnswerAnswered on July 2, 2026

Huu hapa ni utatuzi wa swali la kwanza: 1. Calculate the volume of the following cylinder Kutoka kwenye mchoro, tunaona kuwa: Kipenyo (diameter), d = 20 cm Urefu (height), h = 50 cm Step 1: Tafuta eneo la duara la msingi. Radi (radius), r = (d)/(2) = 20 cm2 = 10 cm. Eneo la duara la msingi, A = r^2. Step 2: Tumia formula ya ujazo wa silinda. Ujazo wa silinda, V = A × h = r^2 h. Tutatumia ≈ 3.14 au (22)/(7). Step 3: Badilisha namba kwenye formula. V = (10 cm)^2 (50 cm) V = (100 cm^2) (50 cm) V = 5000 cm^3 Step 4: Kokotoa thamani ya mwisho. V ≈ 5000 × 3.14 cm^3 V ≈ 15700 cm^3 Ujazo wa silinda ni: 15700 cm^3 Tuma swali linalofuata 📸